Mathematics, 18.11.2019 09:31 rrarick3407

write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation.

write an equation in slope-intercept form for the line that passes through the given point an

Answers: 3

Show answers

Answers

Answer from: caleb258

Step-by-step explanation:

10) The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The given equation is

4x + 7y = 6

7y = - 4x + 6

y = -4x/7 + 6/7

Comparing with the slope intercept form,

Slope, m = -4/7

This means that the slope of the line that is perpendicular to it is 7/4

The given points are (-4,1)

To determine c,

We will substitute m = 7/4, y = 1 and x = - 4 into the equation, y = mx + c. It becomes

1 = 7/4 × -4 + c

1 = - 7 + c

c = 8

The equation becomes

y = 7x/4 + 8

11) 5x + 4y = 8 (10,5)

For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The given equation is

5x + 4y = 8

4y = - 5x + 8

y = -5x/4 + 2

Comparing with the slope intercept form,

Slope, m = -5/4

This means that the slope of the line that is perpendicular to it is 4/5

The given points are (10,5)

To determine c,

We will substitute m = 4/5, y = 5 and x = 10 into the equation, y = mx + c. It becomes

5 = 4/5 × 10 + c

5 = 8 + c

c = 5 - 8 = - 3

The equation becomes

y = 4x/5 - 3

12) 2x - 5y = - 10 (4 ,-5)

For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The given equation is

2x - 5y = -10

5y = 2x + 10

y = 2x/5 + 2

Comparing with the slope intercept form,

Slope, m = 2/5

This means that the slope of the line that is perpendicular to it is - 5/2

The given points are (4, -5)

To determine c,

We will substitute m = - 5/2, y = - 5 and x = 4 into the equation, y = mx + c. It becomes

- 5 = - 5/2 × 4 + c

- 5 = -10 + c

c = - 5 + 10 = 5

The equation becomes

y = - 5x/2 + 5

Answer from: Quest

answer: true

step-by-step explanation:

Answer from: Quest

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.

Asap this is a quiz and i cannot redo it

Another question on Mathematics

Mathematics, 21.06.2019 23:00

The perimeter of a rectangular rug is 24 feet. the length of the rug is 1 2/5 i s width. what is the area of the rug

Answers: 2

Answer

Mathematics, 22.06.2019 00:30

Roy has 4 1/2 pizzas for the soccer team to split after the game. if each member is going to get 1/2 of a pizza, how many players are on the soccer team

Answers: 1

Answer

Mathematics, 22.06.2019 01:30

△abc is similar to △xyz. also, side ab measures 6 cm, side bc measures 18 cm, and side xy measures 12 cm. what is the measure of side yz ? enter your answer in the box.

Answers: 2

Answer

Mathematics, 22.06.2019 03:20

Zed is making a centerpiece for his dining room table by putting sand in a cube-shaped vase. the vase is 0.25 meters in length, width, and height. he bought 25 kg of sand. assume the density of dry sand is 1,602 kgm3. what is the volume of the sand that zed purchased? the volume of the sand is approximately m3. enter your answer as the number that correctly fills in the blank in the previous sentence. if necessary, round your answer to six decimal places, like so: 42.536475

Answers: 1

Answer

You know the right answer?

write an equation in slope-intercept form for the line that passes through the given point and is pe...

Questions

Mathematics, 22.04.2020 02:04

A research firm conducted a survey of 49 randomly selected Americans to determine the mean amount spent on coffee during a week. The sample mean was $...