9514 1404 393
Answer:
y = -3x -1
Step-by-step explanation:
We can write the equation in slope-intercept form if we know the slope and the y-intercept.
The slope is ...
m = "rise"/"run" = (change in y)/(change in x)
We can see that the line passes through grid intersections at (x, y) = (0, -1) and at (1, -4). Between these two points, the change in y is (-4 -(-1)) = -3, and the change in x is (1 -0) = 1. Then the slope is ...
m = -3/1 = -3
One of the points we just used is the point where the line crosses the y-axis, at the y-intercept of -1. So, with slope -3 and y-intercept -1, the equation of the line is ...
y = mx +b . . . . . . slope m and y-intercept b
y = -3x -1
