If you multiply the slopes of two perpendicular lines, the product is −1. (as long as neither line is vertical.) use that fact and the graph to complete the statements below.

Part 1) The number in the blank box is

Part 2) The slope of the line h is

Part 3) The equation of the line h is

Step-by-step explanation:

Statement A

we know that

If two lines are perpendicular, the product of their slopes is equal to -1

so

m1*m2=-1

In this problem we have

substitute in the formula and solve for m2

Multiply by -2 both sides

Statement B

we know that

The line h is perpendicular to the line g

therefore

The slope of the line h is equal to

Statement C

we know that

The equation of the line into slope intercept form is equal to

where m is the slope

b is y-coordinate of the y-intercept

Find the equation of the line h

we have

-----> observing the graph

substitute the values

answer: i think it is (1,-2)