How to graph the equation 5x + 10 = y

Question

How do I graph the equation 5x + 10 = y?

Answer 1

5x + 10 = y   is the same as    y = 5x + 10

 

Two points determine a line.  With x=0, y=10.  And, with y=0, x=-2.  So, plot (0,10) and (-2,0) and draw the line.

Answer 2

The equation is in the slope intercept form, y = 5x + 10

 

The slope is 5 and the y-intercept is 10.

 

From this we can plot the line on a graph.  Knowing that the y-intercept is 10 means the line crosses the y-axis at the point (0,10).  

 

We have a slope of +5 (the coefficient of x).  Slope is defined as the rise over the run, which means the change in y over the change in x, (y₂-y₂)/(x₂-x₁).

 

So from the point (0,10) we need to go up 5 and to the right 1.  This will give us a point at (1,15).  We can also plot another point, again beginning at the y-intercep, going down 5 and to the left 1.  This will give us a point at (-1,5).

 

Since this is a line, we can just connect these three points and extend the line on either end.

 

A note about slopes:

a positive slope means up-right or down-left

a negative slope means up-left or down-right

 

Hope this has helped.