SOLUTION: graph and find the slope and y-intercept of y=5/4x+5? I know that the slope is 5/4 but I don't know how to graph it.

Algebra ->  Linear-equations -> SOLUTION: graph and find the slope and y-intercept of y=5/4x+5? I know that the slope is 5/4 but I don't know how to graph it.       Log On


   

Question 211230: graph and find the slope and y-intercept of y=5/4x+5? I know that the slope is 5/4 but I don't know how to graph it.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct on the slope and to graph this (or any) linear equation, you need plot only two points on you coordinate graph paper and connect the points with a straight line.
The simplest way to get these two points is to:
Set x = 0 and solve for y, then set y = 0 and solve for x.
y+=+%285%2F4%29x%2B5 Set x = 0.
y+=+%285%2F4%29%280%29%2B5
y+=+5 The first point is (0, 5)
y+=+%285%2F4%29x%2B5 Set y = 0.
0+=+%285%2F4%29x%2B5 Subtract 5 from both sides of the equation.
-5+=+%285%2F4%29x Now multiply both sides by 4%2F5
-4+=+x The second point is (-4, 0)
Now plot these points on your coordinate graph paper, suitably marked with the perpendicular x-axis (horizontal) and y-axis (vertical) then join the two points with a straight line.
The graph will look like this:
graph%28400%2C400%2C-5%2C5%2C-5%2C8%2C%285%2F4%29x%2B5%29