Answer:
y = 2x + 2
Explanation:
We can use the following equation to write an equation in slope-intercept form.
[tex]y-y_1=m(x-x_1)[/tex]
Where (x1, y1) is a point in the line and m is the slope. Additionally, the slope can be calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
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:
[tex]m=\frac{8-2}{3-0}=\frac{6}{3}=2[/tex]
Finally, replacing m by 2 and (x1, y1) by (0, 2), we get:
[tex]\begin{gathered} y-2=2(x-0) \\ y-2=2x \\ y-2+2=2x+2 \\ y=2x+2 \end{gathered}[/tex]
Therefore, the equation in slope-intercept form is:
y = 2x + 2
