Question

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the equation.

1.(-5,2) y=1/2x-3

Answer 1

y = 1/2x - 3 (the slope here is 1/2, but for a perpendicular line, you want the negative reciprocal of that slope. To find the negative reciprocal, you " flip " the slope and change the sign. The negative reciprocal of 1/2 is -2/1 or just -2. That is the slope we need.

Now we will use this formula : y - y1 = m(x - x1)
using slope(m) = -2
(-5,2) x1 = -5 and y1 = 2
Now lets sub..
y - 2 = -2(x - (-5)
y - 2 = -2(x + 5)
y - 2 = -2x - 10
y = -2x - 10 + 2
y = -2x - 8 ==>slope intercept form