Question

What is the equation of the line that is parallel to y + 1 = 3 ( x − 1 ) and passes through the point ( − 4 , 8 ) ?

Answer 1

Explanation:

Lines that are parallel have the same slope. Therefore the line of the equation that you are finding has the slope = -1/3 and we now have y=-1/3x +b for the unknown equation so far.Using the point which the line must pass (6,5), we can plug x and y into the unknown equation to solve for b, the y-intercept.5=-1/3(6)+b5=-2+b7=bThe equation of the line parallel to the given line is y = -1/3 x +7