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.

(3,−2); y=x+4

Answer 1

y= -x+1

Explanation:

The slope of a line that is perpendicular to a graph is equal to the negative reciprocal of the graph's slope.

slope = 1 negative reciprocal = - (1/1) = -1

Now, you have to find the y-intercept by using the given points (3,-2) and the slope that was found (-x)

y= -x+b

-2=-3+b

1=b

y= -x+1