Question

Complete the equation of the line whose y-intercept is (0.-1) and slope is 4.

Answer 1

Well just by looking at the information provided, you can tell that the equation would look like y = 4x -1. The y-intercept is -1 because the x value is 0. But if you want to see how to solve it algebraically, here’s an explanation... You need to substitute the y-intercept into the equation in order to solve for b, which would then complete the equation. Take the equation y=mx+b. Substitute in the slope and xy values, (-1) = 4(0) + b. Now the equation should look like this: -1 = b. So now that you have the value of b, the complete equation should be y=4x-1