Question

How do you write an equation given (-3,4), (1,-4)?

Answer 1

Point-slope form: `y-4=-2(x+3)`
Slope-intercept form: `y=-2x-2`

Explanation:

Assuming you mean a line that passes through these two points, use point-slope form:
`y-y1=m(x-x1)`

To find the slope, m, use the slope formula `m = (y2-y1)/(x2-x1)`
(-3,4) and (1,-4):
`m=(-4-4)/(1+3)`
`m=-8/4=-2`

Now, plug in the slope and either point into point-slope form:
`y-4=-2(x+3)`

To convert this to slope intercept form, isolate y and simplify:
`y-4=-2x-6`
`y=-2x-2`