Question

Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -2 Please show all of your work.

Answer 1

-7x + 9y = -2
9y = 7x - 2
y= 7/9x - 2/9
perpendicular meaning m1 x m2 = -1
m1 = 7/9 so m2 = -9/7
now using the point (-7,6)
sub it into the equation
y - y1 = m (x - x1)
m= use the m2 gradient
y1 and x1 = the point
so therefore
y-(6) = -9/7 (x--7)
y-6 = -9/7 (x+7)
y-6 = -9/7x -9+6
y-6 = -9/7x -3