Answer:
See attachment :)
Step-by-step explanation:
The given equation is in slope-intercept form, which lists the slope and the y-intercept of the line.
Slope-intercept form is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept. The y-intercept, 2, is a point on the y-axis where the line intersects with the axis. So, we can graph the given intercept on the y-axis, (0,2).
The slope, [tex]m[/tex], is [tex]\frac{4}{5}[/tex]. The slope is the rise of the line over the run, or [tex]\frac{rise}{run}[/tex]. For this equation, then, we rise 4 units and run 5.
We'll start from the y-intercept, a point we know will be on our line. From this point, move up 4 units, and right 5. A negative slope would run to the left, but this is a positive line, so the run will go to the left. Now, we are on the point (5,6). From this point, we can repeat this [tex]\frac{rise}{run}[/tex].
A few of the following points are (10,10), (14,15), and (18,20). Now, draw a line connecting these points. This line is a graph of our equation.
I've attached a photo of the graphed line.
Good luck :)
