Use the​ slope-intercept form to graph the equation y = 2/5x + 5

Question

this has to be displayed on a graph, if not it would still be helpful to have the points to graph it with.

Answer 1

easiest points to graph are the x and y intercepts. plot them, then draw a straight line through them.

y=(2/5)x + 5 has y intercept 5 which means the point (0,5), 5 units up on the y axis

to find the x intercept, set y=0

0 = (2/5)x + 5

x = -25/2 = -12.5 or the point (-12.5, 0) which is 12.5 units the left on the x axis from the origin (0,0)

plot (0,5) and (-12.5,0) connect them with a straight line and extend that line further in both directions, putting an arrow at the end of each end, indicating the line goes forever in both directions.

Answer 2

The intercept is 5, so one point is 0,5. The slope is 2/5. Slope is change in y over change in x. So from 0,5 you would go up in the y direction by 2 to and to the right in the x direction by 5 toto get to the second point 5,7. The two points 0,5 and 5,7 determine a line.