Answer:
[tex]y=\frac{3}{2}x+3[/tex]
Step-by-step explanation:
We have been graph of a line and we are supposed to find the equation for our given line.
We will write our given equation in slope-intercept form [tex]y=mx+b[/tex], where,
m = Slope of line,
b = The y-intercept.
Now, we will substitute slope of line using slope formula.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Upon substituting the coordinates of points [tex](-2,0)[/tex] and [tex](0,3)[/tex] in slope formula, we will get:
[tex]m=\frac{0-3}{-2-0}[/tex]
[tex]m=\frac{-3}{-2}[/tex]
[tex]m=\frac{3}{2}[/tex]
We can see that y-intercept of our given line is 3. So the equation for our given line would be [tex]y=\frac{3}{2}x+3[/tex].
