Answer:
y = –10x + 70
Step-by-step explanation:
To find the line's equation in slope-intercept form, use the slope-intercept formula:
y = mx + b
Where:
m = slope
b = y-intercept
Then, find the y-intercept first. The y-intercept is the point where the line intersects the y-axis. You can see on the graph that it intercepts the y-axis at (0, 70).
So, b = 70.
Then, find the slope. The slope is the steepness of the line and you can find it by using rise-over-run. The slope formula is:
y2 – y1
m = _______
x2 – x1
Plug in any two coordinates. In this case, you can use (2, 50) and (4, 30).
30 – 50
m = _______
4 – 2
–20
m = _______
2
m = –10
This means that the change in y over x is –10 over 1.
You plug in the y-intercept and slope into the slope-intercept formula to get the final result:
y = –10x + 70
