Find the Slope intercept with the given variable. (In description)

Question

Find the slope intercept form of the equation that passes through (-10, 2) and is parallel to 4x-3y=24

Answer 1

3y=4x-24

y = (4/3)x - 8

4/3 is the slope = m

y=mx + b is the general form of the slope intercept equation with m=4/3

y=(4/3)x + b. Plug in the point (-10,2) to get b

2 = (4/3)(-10) + b

b = 2+ 40/3 = 46/3

the equation of the parallel line is

y=(4/3)x + 46/3 or

3y = 4x + 46