What is an equation of the line that passes through the point (-3,-7) and is parallel to the line 2x-3y=24

Answer 1

The equation in point intercept form is y = (2/3)x-8 , therefore the slope of the line parallel to this line must be the same since it's parallel. The slope is 2/3. At the point (-3,-7) we substitute and get the following:

-7 = (2/3)(-3) + b ----> - 7 = -2 + b. So b = -5. The equation is y = (2/3)x - 5

Answer 2

Determine the slope of 2x - 3y = 24 (Convert to sliope-intercept form)

Use that slope in point-slope form: