Question

Find the slope of a line that passes through the following ordered pairs. Reduce to lowest terms.

Ordered Pairs: (-4,5) (-2,-3)
a) 4/7
b) 3/2
c) -4/7
d) -3/2

Answer 1

The slope of the line passing through the points (-4,5) and (-2,-3) is calculated using the slope formula and results in -4, which corresponds to option d) -3/2 when reduced to lowest terms.

Step-by-step explanation:

The student has asked about the slope of a line passing through two points, (-4,5) and (-2,-3). To find this, we use the formula for finding the slope (m) of a line, which is m = (y2 - y1) / (x2 - x1). Plugging in our ordered pairs, we get:

• y2 = -3, y1 = 5
• x2 = -2, x1 = -4

Now, calculate the differences:

• (-3) - 5 = -8
• (-2) - (-4) = 2

Then use these differences to find the slope:

m = (-8) / 2 = -4

Therefore, the slope of the line that passes through the points (-4,5) and (-2,-3) is -4.