Question

hEY YOU! STOP SCROLLING! STOP IT! TAKE A FEW MINUTES TO HELP ME OUT HERE?? Find an equation of the line containing the given pair of points. Express your answer in the form x=​a, y=B, or y=mx+b ​(0 ​,0​) and ​(3 ​,7​)

Answer 1

To find the slope (m) of the equation, you use the slope formula:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Now you plug in the points into the formula

$m = \frac{7 - 0}{3 - 0} = \frac{7}{3}$

$y = \frac{7}{3} x + b$

Now you need to find b, to do so you plug in either of the points into the equation.

$0 = \frac{7}{3} (0) + b$

0 = b

The equation of the line is:

$y = \frac{7}{3}x$