Question

Graph the line that passes through the given point and has the given slope m.

Answer 1

Answer:

The line equation is:

• $y=-\frac{1}{4}x+9$

Step-by-step explanation:

Given

• The point = (4, 8)
• m = -1/4

We know that point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

where

• m = slope

• (x₁, y₁) = point

substituting the values m = -1/4 and the point (4, 8)

$y-y_1=m\left(x-x_1\right)$

$y-8=\frac{-1}{4}\left(x-4\right)$

Add 8 to both sides

$y-8+8=\frac{-1}{4}\left(x-4\right)+8$

$y=-\frac{1}{4}x+9$

Thus, the line equation is:

• $y=-\frac{1}{4}x+9$