Question #83103

1 Answer
Feb 16, 2018

y=(5/2)x+0

Explanation:

First step is to find the y intercept, where x=0
x=(2/5)y
(0)=(2/5)y
(0)/(2/5)=((2/5)y)/(2/5)
y=0

This means that when x=0, then y=0, which can be described as (0,0), and means that this line passes through the origin.

Now we can convert to the slope-intercept form, y=mx+b
x=(2/5)y
x/(2/5)=((2/5)y)/(2/5)
x(5/2)=y
y=(5/2)x+0

Breaking down this equation will help you graph it. b is the y intercept, or where the line crosses the y axis. Since the origin is a defined point, that is the y intercept

m represents the slope, which shows the direction and angle of the line. This is also described as 'rise over run.' Since the slope is 5/2, then from the y intercept (the origin), count up 5 and to the right 2. this is represented as (2,5). From here, you can continue plotting points by adding 5 to each y value as you add 2 to each x value.

graph{y=5/2(x) [-10, 10, -5, 5]}