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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=

Respuesta :

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.