Question

Find the slope and y-intercept and write an equation in slope intercept form.

Answer 1

tl;dr: Slope is 12. y-intercept is 2. Slope-intercept form is y=12x + 2.

Hello!

To find the slope, you use the equation $m = y_{2} - y_{1}$ ÷ $x_{2} - x_{1}$.

To find this, we'll use (1, 14) and (2, 26).

$m = 26 - 14$ ÷ $2 - 1$

Now, solve.

$m = 12$ ÷ $1$

$m=12$

The slope (m) of this problem is 12.

Now, we find the y-intercept. Remember, to find the y-intercept, you use Slope-Intercept Form (y = mx + b) and replace variables.

$26 = 12(2) + b$

Now, solve.

$26 =24 + b$

Remember to subtract/add on both sides.

$26-24 = (24-24) + b$

$26-24 = b$

$2 = b$

The y-intercept (b) in this problem is 2.

Finally, put everything you did into Slope-Intercept Form (y = mx + b)

y = 12x + 2

Hope this was helpful. Please correct me if I'm wrong. Have a great day!