Mathematics, 02.03.2020 19:24 KubraDskn

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What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)? y = –One-thirdx + 5
y = –One-thirdx + 3
y = 3x + 2
y = 3x − 5

Answers: 1

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Answers

Answer from: dice50

Question:

On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4). What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)? y = –One-thirdx + 5 y = –One-thirdx + 3 y = 3x + 2 y = 3x − 5

Option D: y=3x-5 is the equation of the line

Explanation:

It is given that the line passes through the points (-3,2) and (0,1)

We shall find the equation of the line that passes through the points (-3,2) and (0,1)

Slope $m=\frac{1-2}{0+3}$

$m=\frac{-1}{3}$

Also, it is given that the line is perpendicular to the line having slope $m=\frac{-1}{3}$

Since, we know that if two lines are perpendicular, then the product of the two slope is equal to -1.

Thus, we have,

$m_1\cdot m_2=-1$

$\frac{-1}{3} \cdot m_2=-1$

m_2=3

Thus, the slope of the line is m=3 and passes through the point (3,4)

Now, we shall find the equation of the line using the formula,

y-y_1=m(x-x_1)

Thus, we have,

y-4=3(x-3)

y-4=3x-9

y=3x-5

Thus, the equation of the line is y=3x-5

Hence, Option D is the correct answer.

Answer from: Quest

yes

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8. 4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

Answer from: Quest

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

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What is the equation of the line that is perpendicular to the given line and passe...