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.

Answer:Part 1) The number in the blank box is [tex]2[/tex]Part 2) The slope of the line h is [tex]m=2[/tex]Part 3) The equation of the line h is [tex]y=2x+4[/tex]Step-by-step explanation:Statement Awe know thatIf two lines are perpendicular, the product of their slopes is equal to -1som1*m2=-1In this problem we have[tex]m1=-\frac{1}{2}[/tex]substitute in the formula and solve for m2[tex]-\frac{1}{2}*m2=-1[/tex]Multiply by -2 both sides[tex]m2=2[/tex]Statement Bwe know thatThe line h is perpendicular to the line gthereforeThe slope of the line h is equal to [tex]m=2[/tex]Statement Cwe know thatThe equation of the line into slope intercept form is equal to[tex]y=mx+b[/tex]where m is the slope b is y-coordinate of the y-interceptFind the equation of the line hwe have[tex]m=2[/tex][tex]b=4[/tex] -----> observing the graphsubstitute the values[tex]y=2x+4[/tex]