Question

A line passes through the points (1, 4) and (3, –4). Which is the equation of the line?

Answer 1

y = -4x + 8

First you need to find the slope of the line.

The slope formula is m = y2-y1/x2-x1

If you plugged in the points it would be m = -4-4/3-1

so m = -8/2 = -4

so the slope is -4

now we need to write the equation of the line

for this u use point slope form

the formula for that is y-y2=m(x-x1)

so if you plug it in it would be:

y-(-4)=-4(x-3)

now you solve

y+4=-4x+12

y+4-4= -4x+12-4

y = -4x + 8

and now you have the slope of the line

I hope this helps! :)