Question

Help me rn or I will fail pleassss

Answer 1

Step-by-step explanation:

Note that the line goes through the points $P_1(0, 3)$ and $P_2(-2, 0)$ so we can calculate the slope m of the line as follows:

$m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{0 - 3}{-2 - 0}= \dfrac{3}{2}$

which makes our equation take the form

$y = \dfrac{3}{2}x + b$

To find the value of b, use either P1 or P2. Let's use P1:

$3 = \dfrac{3}{2}(0) + b \Rightarrow b = 3$

Therefore, the equation for the line is

$y = \dfrac{3}{2}x + 3$