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: −52, ordered pair: (−1,3)

Answer 1

`\huge{ \boxed{y = - 52x - 49}}`

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 = -52

In order to find c we substitute the points (−1,3) into the equation and find c

We have

`3 = ( - 52)( - 1) + c \\ 3 = 52 + c \\ c = 3- 52 \\ c = -49`

We have m and c now so we substitute it into the main equation

We have the final answer as

`\bold{y = - 52x - 49}`

Hope this helps you