Answer:
[tex]y=\frac{-5x}{2}\text{ + 2}[/tex]Explanation:
Here, we want to get the equation of the line
The general equation of a line in slope-intercept form is:
[tex]y\text{ = mx + b}[/tex]where m is the slope and b is the y-intercept
We can get the equation through the following:
[tex]\frac{y-y_1}{x-x_1}\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]where (x1,y1) is (0,2) and (x2,y2) is (2,-3)
Substituting the values, we have it that:
[tex]\begin{gathered} \frac{y-2}{x-0}\text{ = }\frac{-3-2}{2-0} \\ \\ \frac{y-2}{x}\text{ = }\frac{-5}{2} \\ \\ \left(y-2\right)\text{ = }\frac{-5x}{2} \\ \\ y\text{ = }\frac{-5x}{2}\text{ + 2} \end{gathered}[/tex]