Question

You know the slope of a line and a point on the line that is not the y-intercept. Can you use a graph to write the equation of the line in slope-intercept form? Explain.

Answer 1

Sure you could as long as you have the point.

for example let's say the slope is 2 and the point we are given is (4,4)

we know that:
$y = mx + b$
plug in the values given
x=4
y=4
m=2

$4 = 2(4) + b$
b, the y intercept equals -4.

so:

$y = 2x - 4$
in this case