Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. (x, y) = (−8, 10) and (x, y) = (6, −4) are points on the line

Question

Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form.

(x, y) = (−8, 10)

 and (x, y) = (6, −4)

 are points on the line

Answer 1

First calculate the slope between the two points:

m = (10-(-4))/(-8-6) = 14/-14=-1

Now the equation using point-slope using (6, -4) as the point:

y-(-4)=-1(x-6)

y+4 = -x+6

y = -x+2

See the following Desmos graph (select, right click and use Go to...) to see the result.

desmos.com/calculator/sb6znoclsl