Question

Which proportion can be used to show that the slope of J is equal to the slope of MP?

a) (8 - (-10)) / (0 - 4) = (-4 - (-7)) / (-1 - (-10))
b) (-4 - (-1)) / (8 - (-10)) = (-4 - (-7)) / (-1 - (-10))
c) (-4 - (-10)) / (0 - 4) = (-1 - (-10)) / (-8 - (-7))
d) (-4 - (-1)) / (8 - (-10)) = (-4 - (-10)) / (-1 - (-10))

Answer 1

The proportion that can be used to show that the slope of J is equal to the slope of MP is option d) (-4 - (-1)) / (8 - (-10)) = (-4 - (-10)) / (-1 - (-10)).

Step-by-step explanation:

The proportion that can be used to show that the slope of J is equal to the slope of MP is option d) (-4 - (-1)) / (8 - (-10)) = (-4 - (-10)) / (-1 - (-10)).

To determine the slope of a line passing through two points, you can use the formula: m = (y2 - y1) / (x2 - x1). In this case, the two points given are J(8, -4) and MP(-10, -1). Substituting these coordinates into the formula, we get: mJ = (0 - (-4)) / (7 - 1) = 4/8 = 1/2 and mMP = (26.8 - (-1)) / (7 - (-10)) = 27.8 / 17 = 1.635. Since 1/2 is approximately equal to 1.635, we can conclude that the slopes of J and MP are equal.