#### Answer

y=5x-2

#### Work Step by Step

When an equation is written in slope-intercept form, or y=mx+b form, m=slope and b=y-intercept. The y-intercept is the value of y where the graph of an equation intersects the y axis. This occurs when x=0.
We are given that the slope=5
We are also given that the equation passes through the point (0,2)
Since y value of this point is the y-intercept because the point exists where x=0
Therefore, the equation would be
y=5x-2