Find an equation of the line in the form y=f(x) that satisfies the given conditions. through (5, 2); slope 4

We have enough information to use slope intercept form to find an equation. y = mx + b where m is the slope and b is the y-intercept. Lets plug in our numbers and solve for b.

y = mx + b
2 = 4(5) + b
2 = 20 + b
-18 = b

This means our final equation is y = 4x - 18.