Question

Y = 2/3x + 1
(this is for using the slope and y-intercept to graph the equation)

Answer 1

Explanation:

First, find the y intercept.

Plug in 0 for x, and get y=(2/3)(0)+1, after simplifying, we get (0, 1) as the y intercept.

Then, get the x intercept.

Plug in 0 for y, and get 0=2/3x+1

Subtract both sides by 1, -1=2/3x

Multiply both sides by 3/2, because it's the reciprocal of 2/3, meaning that when they multiply, we get 1.

-3/2=x

This means that the x intercept is (-3/2, 0)

Plot the points (0, 1) and (-3/2, 0) and draw a straight line through them.