Question

Which equation does the graph above represent?

A. y = 2x
B. y = 1/2x
C. y = 1/2
D. y = 2 + x

Answer 1

y=2x

Explanation:

Hi there!

Linear equations are typically organized in slope-intercept form:
`y=mx+b` where m is the slope and b is the y-intercept (the value of y when x is 0).

1) Determine the slope (m)

The slope is the rate of change, or the number of units the line moves up divided by the number of units the line moves to the right.

Looking at the graph, we can see that for every 1 space the line travels to the right, the line travels 2 spaces up. This makes the slope of the line 2. Plug this into
`y=mx+b`:

`y=2x+b`

2) Determine the y-intercept (b)

When x=0 on the graph, y=0. Therefore, the y-intercept is 0. Plug this into
`y=2x+b`:

`y=2x+0\\y=2x`

I hope this helps!