CPM Homework Help : PC Problem 1-7

Find the equation of the line that: (Try this using the eTool (Desmos).)

Passes through the points $\left(4, 8\right)$ and $\left(8, 17\right)$ .

Hint (a):

What are two equation forms for a line?

Answer 1(a):

$y = mx + b$ where $m =$ slope and $b = y$ -intercept
$\left(y − y_{1}\right) = m\left(x − x_{1}\right)$ where $m =$ slope and $\left(x_{1}, y_{1}\right)$ is a point.

More Help (a):

How do you find slope from two points?

Answer 2(a):

$\frac{y_2-y_1}{x_2-x_1}$

Is parallel to the result in part (a) but goes through the point $\left(−12, 20\right)$ .

Hint (b):

What do you know about the slopes of two parallel lines?

More Help (b):

Use one of the equation forms in part (a) above to find the equation.

Answer (b):

They are the same.