Question

Is the graph shown at right the graph of -2x + 5y = 20? yes or no? explain your thinking

Answer 1

Yes

Rewrite the equation in slope intercept form.
First add 2x to both sides:
5y = 2x + 20
Divide both sides by 5
y = (2/5)x + 4

Based on this equation, the y-intercept is 4, which is true for the graph. The slope is 2/5, which is also true for the graph, seeing as how there are points at (-5,2), (0,4), and (5,6). Between each point you go 2 up and 5 to the right.