Mathematics, 17.02.2021 23:50 crobinson7206

Which of the coordinate pairs is a point on the line y = -2/5x + 4? A.) (2, 3)
B.) (-5, 6)
C.) (6, 2)
D.) (-2/5, 4)

Answers: 2

Show answers

Answers

Answer from: katswindle11

B.) (-5, 6)

Step-by-step explanation:

to solve algebraically, test the coordinate pairs in the equation $y = -\frac{2}{5}x + 4$

to solve graphically, enter the equation $y = -\frac{2}{5}x + 4$ into a graphing calculator and graph the coordinate pairs as well to see which one is on the line.

(2, 3) is NOT a solution.

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

2 is the x-value and 3 is the y-value. coordinate pairs are always written as (x, y).

plug in 2 for x in $y = -\frac{2}{5}x + 4$ (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

y = -2/5x + 4 ⇒ y = -2/5(2) + 4

now plug in 3 for y.

y = -2/5(2) + 4 ⇒ 3 = -2/5(2) + 4

your equation is now 3 = -2/5(2) + 4. begin simplifying by multiplying -2/5 and 2.

3 = -2/5(2) + 4 ⇒ 3 = -0.8 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)

now add -0.8 + 4 to simplify the rest of the right side of the equation.

3 = -0.8 + 4 ⇒ 3 = 3.2

3 and 3.2 are not equal, therefore (2, 3) is not a solution.

(-5, 6) IS a solution.

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

-5 is the x-value and 6 is the y-value. coordinate pairs are always written as (x, y).

plug in -5 for x in $y = -\frac{2}{5}x + 4$ (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

y = -2/5x + 4 ⇒ y = -2/5(-5) + 4

now plug in 6 for y.

y = -2/5(-5) + 4 ⇒ 6 = -2/5(-5) + 4

your equation is now 6 = -2/5(-5) + 4. begin simplifying by multiplying -2/5 and -5.

6 = -2/5(-5) + 4 ⇒ 6 = 2 + 4

now add 2 + 4 to simplify the rest of the right side of the equation.

6 = 2 + 4 ⇒ 6 = 6

6 and 6 are equal, therefore (-5, 6) is a solution.

although we have identified (-5, 6) as a solution, i'm still going to check the rest of the points just to be sure! :)

(6, 2) is NOT a solution.

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

6 is the x-value and 2 is the y-value. coordinate pairs are always written as (x, y).

plug in 6 for x in $y = -\frac{2}{5}x + 4$ (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

y = -2/5x + 4 ⇒ y = -2/5(6) + 4

now plug in 2 for y.

y = -2/5(2) + 4 ⇒ 2 = -2/5(2) + 4

your equation is now 2 = -2/5(6) + 4. begin simplifying by multiplying -2/5 and 6.

2 = -2/5(6) + 4 ⇒ 2 = -2.4 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)

now add -2.4 + 4 to simplify the rest of the right side of the equation.

2 = -2.4 + 4 ⇒ 2 = 1.6

2 and 1.6 are not equal, therefore (6, 2) is not a solution.

(-2/5, 4) is NOT a solution.

i see that they want to trick you with this one by using the values that are in other spots in the equation... that's crafty

steps for solving algebraically:

first, identify the x and y values in your coordinate pair.

-2/5 is the x-value and 4 is the y-value. coordinate pairs are always written as (x, y).

plug in -2/5 for x in $y = -\frac{2}{5}x + 4$ (it doesn't matter if you plug in x or y first, i personally always start with the x-value but it really doesn't matter what order you do it in.)

y = -2/5x + 4 ⇒ y = -2/5(-2/5) + 4

now plug in 4 for y.

y = -2/5(-2/5) + 4 ⇒ 4 = -2/5(-2/5) + 4

your equation is now 4 = -2/5(-2/5) + 4. begin simplifying by multiplying -2/5 and -2/5.

4 = -2/5(-2/5) + 4 ⇒ 4 = 0.16 + 4 (i converted my answer to a decimal because i'm better at dealing with decimals as opposed to fractions lol)

now add 0.16 + 4 to simplify the rest of the right side of the equation.

4 = 0.16 + 4 ⇒ 4 = 4.16

4 and 4.16 are not equal, therefore (-2/5, 4) is not a solution.

as for finding the solution on a graph, enter the equation for the line as well as the coordinate pairs into a graphing calculator. here i used a handy little site called desmos in order to graph all of this. the first photo i attached contains what i entered into the calculator, and the second photo i attached shows the graph. as you can see, the only point that is actually on the line is (-5, 6), which is why (-5, 6) is a solution to $y = -\frac{2}{5}x + 4$ , and the other coordinate pairs are not solutions to that equation because they are not on the line.

i hope this helps! have a lovely rest of your day <3

Which of the coordinate pairs is a point on the line y = -2/5x + 4?

A.) (2, 3)B.) (-5, 6)C.) (6, 2)

Answer from: Quest

14 is the best answer can i get brainliest?

Answer from: Quest

Bi’m pretty sure hope it works

Another question on Mathematics

Mathematics, 21.06.2019 13:50

What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?

Answers: 1

Answer

Mathematics, 21.06.2019 16:00

On a piece of paper graph f(x)=5•(0.4)^x

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

Bugs bunny was 33 meters below ground, digging his way toward pismo beach, when he realized he wanted to be above ground. he turned and dug through the dirt diagonally for 80 meters until he was above ground

Answers: 3

Answer

Mathematics, 22.06.2019 02:00

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.

Answers: 3

Answer

You know the right answer?

Which of the coordinate pairs is a point on the line y = -2/5x + 4? A.) (2, 3)
B.) (-5, 6)

Questions

Mathematics, 05.06.2020 15:59

MN is the midsegment of trapezoid ABCD, What is the length for segment AB?...