Answer:
Draw a diagonal line through the points (0,-2) and (8,0) as the graph represents below.
Step-by-step explanation:
First thing first, to graph this equation, as the question specifies, we should find two points. The easiest points to find are the x and y intercepts. We can easily find the y intercept as our equation is in slope-intercept form (y=mx+b, where b is the y intercept). Therefore, our y intercept is -2 and the point that we can plot is (0,-2). Next, we can find our x intercept by solving the equation for x when y is equal to 0.
1) Substitute 0 for y. 2) Add 2 to both sides of the equation. 3) Divide both sides of the equation by 1/4.
[tex]y = \frac{1}{4}x -2\\\\0=\frac{1}{4}x-2\\\\2=\frac{1}{4}x\\\\8=x\\\\x=8[/tex]
Having solved for x, we now know that the x intercept of the graph is the point (8,0).
Now we can plot these points and draw a diagonal line through the points, and we should get a graph that looks like this:
