Video Tutorial on Equation from Slope and a Point
Find the equation of a line that goes through the point (1, 3) and has a slope of 2.Step 1
Substitute slope for 'm' in y = mx + b.
$$ y = \red m x + b \\ y = \red 2 x + b $$
Substitute the point $$ (\red 1, \red 3)$$ into equation.
$$ y = 2x + b \\ \red 3 = 2( \red 1) + b $$
Solve for b.
$$ 3 = 2 + \red b \\ 3 - 2 = 1 = \red b $$
Now that we know b, all that we have to do is substitute it into the equation, and we now have our line in slope intercept form.
$$ y = 2x + 1 $$