Question

Find the slope of the line passing through the points (4, -3) and (-2, 5) using a calculator:

A) -1
B) 1
C) -2
D) 2

Answer 1

The slope of the line passing through the points (4, -3) and (-2, 5) is calculated using the slope formula and is -4/3, indicating a straight line with a negative slope, which is not one of the provided multiple-choice options.

Step-by-step explanation:

To find the slope of a line passing through two points, you can use the slope formula:

Slope (m) = Δy / Δx = (y2 - y1) / (x2 - x1)

Let's substitute the given points into the formula:

• Point 1: (4, -3)
• Point 2: (-2, 5)

Slope (m) = (5 - (-3)) / (-2 - 4)

Slope (m) = (5 + 3) / (-2 - 4)

Slope (m) = 8 / -6 = -4/3

Therefore, the slope is not one of the provided options (A, B, C, D). The correct slope is -4/3, which suggests a straight line with negative slope.