Answer:
y = 5x - 22
Step-by-step explanation:
In this question, we have to find the equation of the line.
We know that the slope is 5 and passes through (5, 3) on the graph.
We know that our equation must be in slope-intercept form: y = mx + b
To find our y-intercept, or "b", we would plug in our given information and solve for b.
Solve for b:
3 = 5(5) + b
3 = 25 + b
Subtract 25 from both sides.
-22 = b
This means that our y-intercept is -22. We can now make our equation with our new information:
y = 5x - 22
The equation of the line is y = 5x - 22
