Question

Write the equation, in slope-

intercept form, of the line that
passes through the points (-4,4)
and (2,-5). If needed, write your
slope as a decimal and NOT as a
fraction.

Answer 1

Explanation:

Answer 2

To find the equation of a line in slope-intercept form (y = mx + b), we first need to find the slope (m) and the y-intercept (b).

• 1. Calculate the slope (m) using the two given points (-4, 4) and (2, -5):
• m = (y2 - y1) / (x2 - x1) = (-5 - 4) / (2 - (-4))
• m = -9 / 6 = -1.5

So, the slope of the line is -1.5.

• 2. To find the y-intercept (b), we can use one of the given points and plug in the values for x, y, and m in the slope-intercept equation. Let's use the point (-4, 4):
• 4 = -1.5 * (-4) + b
• 4 = 6 + b
• b = -2
• Now we have the slope (m) and y-intercept (b), so we can write the equation in slope-intercept form:

y = -1.5x - 2