Answer:
y = (5/3) * x -7/3
Step-by-step explanation:
To find the line that goes through these points, we can first define the equation of a line to be y = mx + b, with m being the slope and b being the y intercept. To find the slope, we can use the formula
(change in y) / (change in x). Applying this, we have (6-(-4))/(5-(-1)) = 10/6 = 5/3. Then, we have y = (5/3)*x + b as our equation. Plugging a value in for x and y, such as (-1, -4), we have
-4 = (5/3) * (-1) + b
= -5/3 + b. Adding 5/3 to both sides to isolate the b, we get
-7/3 = b, resulting in an equation of
y = (5/3) * x -7/3
