Step-by-step explanation:
Note that the line goes through the points [tex]P_1(0, 3)[/tex] and [tex]P_2(-2, 0)[/tex] so we can calculate the slope m of the line as follows:
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{0 - 3}{-2 - 0}= \dfrac{3}{2}[/tex]
which makes our equation take the form
[tex]y = \dfrac{3}{2}x + b[/tex]
To find the value of b, use either P1 or P2. Let's use P1:
[tex]3 = \dfrac{3}{2}(0) + b \Rightarrow b = 3[/tex]
Therefore, the equation for the line is
[tex]y = \dfrac{3}{2}x + 3[/tex]
