9514 1404 393
Answer:
y = -3/4x -3
Step-by-step explanation:
The equation for a line in "intercept form" is ...
x/a +y/b = 1
where 'a' is the x-intercept and 'b' is the y-intercept. Here, the x-intercept is -4, and the y-intercept is -3. This means the equation can be written as ...
x/(-4) +y/(-3) = 1
Solving for y, we get ...
y/(-3) = x/4 +1 . . . . . . . . . . . add x/4
y = -3/4x -3 . . . . . . . . . . . . multiply by -3
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Alternate solution
The slope of the line (m) is the ratio of "rise" to "run". Here, the line drops 3 squares for a run of 4 squares to the right, so ...
m = rise/run = -3/4
The line crosses the y-axis at y=-3, so that is the value of the y-intercept.
The slope-intercept form of the equation for a line is ...
y = mx +b . . . . . . for slope m and y-intercept b
This line is ...
y = -3/4x -3
