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: −43, ordered pair: (0,−25)

Answer 1

`\huge{ \bold{y = - 43x - 25}}`

Explanation:

Equation of a line in slope-intercept form is given by

`y = mx + c`

where

m is the slope

c is the y intercept

From the question

m = - 43

In order to find c we substitute the point (0,−25) into the equation y = mx + c

That's

`- 25 = - 43(0) + c \\ - 25 = 0 + c \\ c = - 25`

We now substitute m and c into the equation

We have the final answer as

`\bold{y = - 43x - 25}`

Hope this helps you