Find the equation of the line using the point -slope formula . write the final equation using the slope - intercept form. (x, y)=(-4,10) and (x, y)=(8,-2) are points on the line

Y2-y1=m(x2-x1) point-slope form

y=mx+b slope-intercept form

Now plugging in our given values into point-slope form, we get;

-2-10=m(8-(-4))
-12=m(12)
m=-1

Now that we have our slope value we use one coordinate point to find our slope-intercept equation;

Y=-x+b
10=-(-4)+b
b=6

That’s our y-intercept so now we have our answer in slope-intercept form;

y=-x+6

Hope this helps. Any questions please just ask. Thank you.