### Home > PC > Chapter 1 > Lesson 1.1.1 > Problem1-7

1-7.

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

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

What are two equation forms for a line?

$y = mx + b$ 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.

How do you find slope from two points?

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

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

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

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

They are the same.