Question

Find the equation of line that contains point (2,9) and is parallel to the line y=-5x+7?

Answer 1

y = -5x + 19

Explanation:

Note that the equation of any line parallel to y= -5x+7 has the same form as y= -5x+7, but a different constant. Knowing that this new line passes thru (2,9), we determine the value of this constant as follows: 9 = -5(2) + C, or 9 = -10 + C. Then C = 19, and the equation of this new line is

y = -5x + 19