Write an equation in slope-intercept form for the line perpendicular to y=-3x + 9 that passes through the point (9,9)
![Write an equation in slopeintercept form for the line perpendicular to y3x 9 that passes through the point 99 class=](https://us-static.z-dn.net/files/de2/ceeee792875cf25f51dfead64f3789c4.jpg)
Answer:y = 3x - 18
Step-by-step explanation:
The given line, y = -3x + 9, has slope -3. Any new line perpendicular to this has slope +3/1, or just 3.
Start with the general slope-intercept form of the equation of a straight line:
y = mx + b. Now substitute 9 for y, 9 for x and 3 for m:
9 = 3(9) + b. Then b = -18, and the desired equation is y = 3x - 18.