Write an equation of the line shown ! #23!

Okay so first of all we need the y-intercept. The y-intercept is the point on the graph in which the line meets with the y-axis. This point is -2.

Then, we have to find the slope of the line. The formula for slope is m = y2-y1 / x2 - x1.

But let's make it more simple since you have a graph anyway. Slope is rise over run. In this graph, you go 2 up and 1 right every time in order to get to the next point. So, slope is 2.

Now that we have everything we can write the equation of the line.

y - y1 = m(x - x1)

Plug in any of the given coordinates for x1 and y1.

y - 2 = 2(x - 2)

y - 2 = 2x - 4

y = 2x - 2

Now you have the equation of your line in simplest form (slope-intercept form).