Question

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.

slope: 4, ordered pair: (−3,−2)

Answer 1

`\huge{ \boxed{y = 4x + 10}}`

Explanation:

The equation of a line in slope-intercept form is given by

`\bold{y = mx + c}`

where

m is the slope

c is the y intercept

From the question

m = 4

In order to find c we substitute the point (−3,−2) into the equation y = mx + c

We have

`- 2 = 4( - 3) + c \\ - 2 = - 12 + c \\ c = - 2 + 12 \\ c = 10`

We now substitute m and c into the equation

We have the final answer as

`\bold{y = 4x + 10}`

Hope this helps you