Question

I need help with 15, 16, 17, and 18 please

Answer 1

y = 2x + 2

Step-by-step explanation:

We can use the following equation to write an equation in slope-intercept form.

`y-y_1=m(x-x_1)`

Where (x1, y1) is a point in the line and m is the slope. Additionally, the slope can be calculated as:

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

Where (x2, y2) is another point in the line.

So, replacing (x1, y1) by (0, 2) and (x2, y2) by (3, 8), we get that the slope is equal to:

`m=(8-2)/(3-0)=(6)/(3)=2`

Finally, replacing m by 2 and (x1, y1) by (0, 2), we get:

`\begin{gathered} y-2=2(x-0) \\ y-2=2x \\ y-2+2=2x+2 \\ y=2x+2 \end{gathered}`

Therefore, the equation in slope-intercept form is:

y = 2x + 2