Answer:
[tex] \frac{3}{4} x - 5[/tex]
Step-by-step explanation:
Sure, here's the equation of the line in slope-intercept form passing through the points (4, -2) and (0, -5):
1. Calculate the slope (m):
m = (y2 - y1) / (x2 - x1)
m = (-5 - (-2)) / (0 - 4)
m = (-3) / (-4)
m = 3/4
2. Use the slope and one point (e.g., (4, -2)) to form the equation:
y = mx + b
y = (3/4)x + b
3. Plug the other point (0, -5) into the equation to solve for b (y-intercept):
-5 = (3/4)(0) + b
-5 = 0 + b
b = -5
Therefore, the equation of the line in slope-intercept form is y = 3/4x - 5.
