Question

Write the standard form of the equation of each line given the slope and y-intereept.

Question 1: slope =-3/5
Y-intercept=5

Question 2: slope =9
Y-intercept=4

Answer 1

5y + 15x = 25, 9x - y = -4

Explanation:

The standard form is Ax + By = C. We can make this simple by first creating the slope intercept equations of both questions:

1. y = (-3/5)x + 5

2. y = 9x + 4

For the first one, we must first get rid of the denominator by multiplying everything by 5, so we get 5y = -15x + 25, and then you can add 3x to both sides to arrive at your first standard eqn, 5y + 15x = 25.

For the second, all you need to do is swap the y and the 4, subtracting both y and 4 from each side, arriving at 9x - y = -4