Question

Which equation represents the line shown on the graph?

Answer 1

y = 2x

Explanation:

We first find the y-intercept. This is the point where the line crosses the y-axis.

We can see in this graph that the line crosses the y-axis at (0, 0). This makes the y-intercept 0.

Next we find the slope. In a graph, we can do this by finding the rise/run; the rise is the vertical change between two points and the run is the horizontal change between two points.

The rise between points is 2 and the run is 1; this makes the slope 2/1 = 2.

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. This makes the equation of our line y = 2x+0 or y = 2x.

Answer 2

Hello there,

To find out the equation you need to use slope intercept form...

y = mx + b

The only equation above that follows that form is...

y = 2x

Hope I helped!!

-Char