Question

Find the slop and the y-intercept of line there are 2 correct answer for this question

Answer 1

Let's begin by listing out the information given to us:

$\begin{gathered} (x_1,y_1)=(-3,4) \\ (x_2,y_2)=(0,2) \end{gathered}$

The slope is calculated thus:

$\begin{gathered} m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{2-4}{0--3}=\frac{-2}{3}=-\frac{2}{3} \\ m=-\frac{2}{3} \end{gathered}$

The y-intercept of the graph is given by the point where the straight line touches the y-axis which is 2.

$b=2$

The first and second options are the correct answer