Write the equation of the line parallel to the line 4x+3y=8 that passes through p(4,-2)

First you have to change your equation to slope-intercept form.Make everything equal to y, do y=-(4x/3)+(8/3). Parallel lines means that slope is the same. In this case, your equation will have the slope m=4/3. Then you would plug in your given point into y=(4x/3)x+b, so it would like -2=(4(4)/3)+b. Solve for "b," and plug into this equation: y=(4x/3)+b. That would your final answer.