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: −3, ordered pair: (−5,3)

Answer 1

`\huge{ \boxed{y = - 3x - 12}}`

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 = -3

In order to find c we substitute the point (−5,3) into the equation y = mx + c

We have

`3 = - 3( - 5) + c \\ 3 = 15 + c \\ c =3 - 15 \\ c = - 12`

We now substitute c and m into the main equation

We have the final answer as

`y = - 3x - 12`

Hope this helps you