Write an equation in slope-intercept form of a line with the following characteristics: parallel to the graph of: -4x + 3y= 12 and passes through the origin.

The line that's already there:  -4x + 3y= 12Add 4x to each side:    3y = 4x + 12Divide each side by 3 :    y = 4/3 x + 4The line that's already there has a slope of 4/3.Any line parallel to it has the same slope but different y-intercept.If the new line passes through the origin, then its y-intercept is zero.The equation of the new line is    y = 4/3 x

Slope of given line is m=-a/b =4/3So searched equation is:y-0=4/3(x-0)y = 4/3x