Question

please help math teacher did not explain it at all

Answer 1

First, we can use the slope formula to find the slope of the two points.

$\sf m=\dfrac{y_2-y_1}{x_2-x_1}$

For points in the form of (x1, y1), (x2, y2). Plug in the points:

$\sf m=\dfrac{13-4}{5-2}$

Subtract:

$\sf m=\dfrac{9}{3}$

Divide:

$\sf m=3$

So the slope is 3, we can plug this and one of the points into point-slope form first, and then convert it to slope-intercept form.

$\sf y-y_1=m(x-x_1)$

Where 'm' is the slope and (x1, y1) is a point on the line. Let's use (2, 4):

$\sf y-4=3(x-2)$

Now convert to slope-intercept form:

Distribute 3 into the parenthesis:

$\sf y-4=3x-6$

Add 4 to both sides:

$\boxed{\sf y=3x-2}$