Explanation:
Note that the line goes through the points
and
so we can calculate the slope m of the line as follows:
![m = (y_2 - y_1)/(x_2 - x_1) = (0 - 3)/(-2 - 0)= (3)/(2)](https://img.qammunity.org/2022/formulas/mathematics/college/96cz22mspo567wr5dmps31znt02ve09lhf.png)
which makes our equation take the form
![y = (3)/(2)x + b](https://img.qammunity.org/2022/formulas/mathematics/college/1maho4rc6bynxgn90s2s8efa1kw8zcwi6b.png)
To find the value of b, use either P1 or P2. Let's use P1:
![3 = (3)/(2)(0) + b \Rightarrow b = 3](https://img.qammunity.org/2022/formulas/mathematics/college/knwwqnf7qg45ecte83lbx5vol7cbnjkygb.png)
Therefore, the equation for the line is
![y = (3)/(2)x + 3](https://img.qammunity.org/2022/formulas/mathematics/college/ackhcxgbujnejyattxum1mcye14rbvb4mt.png)