Question

What is the equation of this line in slope-intercept form? y=−3x−1 y = 3x + 1 y=3x−1 y=− 1 3 x−1

idk how to screenshot the graph but here are the points and options

(-1,2) and (1,-4) are the points

and these are the options

y=-3x-1
y=3x+1
y=3x-1
y=-1/3x-1

PLEASE HELP ASAP

Answer 1

`y=-3x-1`

Explanation:

we know that

The equation of a line in slope intercept form is

`y=mx+b`

where

m is the slope

b is the y-intercept

we have the points

(-1,2) and (1,-4)

step 1

Find the slope m

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

substitute the values

`m=(-4-2)/(1+1)`

`m=(-6)/(2)`

`m=-3`

step 2

Find the y-intercept b

we have

`m=-3`

point (-1,2)

substitute

`y=mx+b`

`2=-3(-1)+b`

solve for b

`2=3+b`

`b=-1`

The equation of the line is

`y=-3x-1`