Will give 50 points!! What is the length of the line segment PQ on the coordinate grid?

A four-quadrant coordinate grid from negative 50 to positive 50 in increments of 10 is drawn. Point P is plotted on the ordered pair negative 20, 30. Point Q is plotted on the ordered pair 30, 30. The points are connected by a line.

10 units
20 units
30 units
50 units

50 units

Step-by-step explanation:

The y-coordinate of both points is 30.  Therefore, the line connecting the points is horizontal.  To calculate the length of the line segment PQ, simply subtract the x-coordinate of point P from the x-coordinate of point Q:

30 - -20 = 3 + 20 = 50

5y

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)