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