Question

Six years after a tree was planted, its height was 7 feet. nine years after it was planted, its height wwhich equation represents the line that passes through the points (–4, 3) and (2, –12)?

Answer 1

The equation of the line that passes through the points (–4, 3) and (2, –12) is found using the slope-intercept form. The slope (m) is calculated to be -2.5, and using one of the points, the y-intercept (b) is found to be -7. Hence, the equation representing the line is y = -2.5x - 7.

Step-by-step explanation:

The question asks for the equation of a line that passes through the points (–4, 3) and (2, –12). To determine the equation of this line, we use the slope-intercept form of a line, which is y = mx + b, where m represents the slope and b represents the y-intercept.

Steps to Find the Equation of a Line

Let's calculate the slope:

m = (-12 - 3) / (2 - (-4))

m = (-15) / (6)

m = -2.5

Now, select one of the given points to find b, using the point (–4, 3)

3 = (-2.5)(-4) + b

3 = 10 + b

b = 3 - 10

b = -7

The equation that represents this line is y = -2.5x - 7.