Given the equation 3x − 5y =15 :

Question

a) Rewrite the equation in slope-intercept form.

b) Write an equation in point-slope form of the line through the point (-8, 5) perpendicular to the line with the equation given above.

c) Convert the equation found in part (b) to slope-intercept form.

d) Convert the equation found in part (c) to standard form, Ax + By = C, where A, B, and C are integers.

e) Graph both lines on one coordinate system

Answer 1

3x - 5y = 15

-5y = -3x + 15

y = (3/5)x - 3

 

y - 5 = (-5/3)(x - (-8))

 

y = (-5/3)x - 25/3

 

(5/3)x + y = -25/3

 

Hopefully you know how to graph.