Question

Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equation in slope-intercept form.

Answer 1

y=(3/4)x+2

Explanation:

write the equation in slope-intercept form: y=(3/4)x - 3

since it is parallel the slope is the same so we have y=(3/4)x + b

then plug in the point (-1) = (3/4)(-4) + b

-1 = -3 +b, b=2

y= (3/4)x + 2