Question

Please help quickly!!

Graph the equation on the coordinate plane . y = 1/4x - 2 Select two points on the line to graph the line.​

Answer 1

Draw a diagonal line through the points (0,-2) and (8,0) as the graph represents below.

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.

`y = (1)/(4)x -2\\\\0=(1)/(4)x-2\\\\2=(1)/(4)x\\\\8=x\\\\x=8`

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: