Question

A line passes through the points (-6, 4) and (3, 8). Which equation best represents the line?

a. y = 0.5x + 1
b. y = 2x + 2
c. y = -2x + 8
d. y = 1.5x - 6

Answer 1

The equation of the line passing through the points (-6, 4) and (3, 8) is y = (4/9)x + 20/9.

Step-by-step explanation:

To find the equation of the line passing through the points (-6, 4) and (3, 8), we need to determine the slope and the y-intercept of the line.

Step 1: Calculate the slope using the formula: m = (y2 - y1) / (x2 - x1)

Plugging in the coordinates, we get: m = (8 - 4) / (3 - (-6)) = 4 / 9

Step 2: Use one of the points and the slope to find the y-intercept, b, using the formula: y = mx + b

Plugging in the values, we get: 4 = (4/9)(-6) + b

Simplifying, we find: b = 20/9

Therefore, the equation of the line is: y = (4/9)x + 20/9