Let's find the slope of the line. Recall that the slope m is the ratio of the change in y to the change in x.
m=change iny/change inx ⇔ m=y_2-y_1/x_2-x_1
We can use any two points of the line to find the slope. We will arbitrarily use ( 0, 5) and ( 3, 7).
We found that the slope of the line is 23. Let's write a partial equation for our line.
y= 2/3x+b
Finally, because the line crosses the y-axis at (0, 5), the y-intercept b is 5.
y= 2/3x+ 5
Let's add this information to our diagram.
