Answer:
y = (-3/2)x - 3
Explanation:
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given two points, we can calculate the slope by dividing the change in y (or the difference in the y-coordinates) by the change in x (or the difference in the x-coordinates). Our two points are (-4, 3) and (2, -6):
m = (3 - (-6)) / (-4 - 2) = 9 / (-6) = -3/2
So, we can update our equation:
y = (-3/2)x + b
The y-intercept is where the graph crosses the y-axis, or the y-value where x = 0. Let's plug in 3 for y and -4 for x:
3 = (-3/2) * (-4) + b
3 = 6 + b
b = -3
So, our y-intercept is -3.
Our slope-intercept form is thus:
y = (-3/2)x - 3
~ an aesthetics lover