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=(y_2-y_1)/(x_2-x_1)`

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


`\sf m=(13-4)/(5-2)`

Subtract:


`\sf m=(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}`