Question

Which equation describes the line through the points (4, -3) and (5, 0)?

A. y = 3x + 9
B. y = 3x - 15
C. y = -3x + 9
D. y = -3x - 15

Answer 1

The equation that describes the line through the points (4, -3) and (5, 0) is y = 3x + 9.

Step-by-step explanation:

The equation that describes the line through the points (4, -3) and (5, 0) is y = 3x + 9.

To find this equation, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.

1. Find the slope (m):

• Slope (m) = (change in y) / (change in x)
• Slope (m) = (0 - (-3)) / (5 - 4) = 3 / 1 = 3

Use one of the given points to find the y-intercept (b):

• Using (4, -3): -3 = 3(4) + b
• -3 = 12 + b
• b = -3 - 12 = -15

Plug the values of m and b into the slope-intercept form:

• y = 3x - 15