In order to fill in the table, you need to replace the corresponding x-values into the equation:
[tex]y=-3x+4[/tex]
Let's start then:
[tex]\begin{gathered} a.x=-2 \\ y=-3(-2)+4 \\ y=6+4=10 \\ b.x=0 \\ y=-3(0)+4 \\ y=0+4=4 \\ c.x=2 \\ y=-3(2)+4 \\ y=-6+4=-2 \\ d.x=4 \\ y=-3(4)+4 \\ y=-12+4=-8 \end{gathered}[/tex]
The filled table is:
The slope of the equation can be found by using the formula:
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1}=\frac{4-10}{0-(-2)} \\ m=\frac{-6}{2}=-3 \end{gathered}[/tex]
The slope is -3.
The y-intercept is the y-value at x=0, then the y-intercept is 4.
