Question

Fill I n the table for the corres x values

Answer 1

In order to fill in the table, you need to replace the corresponding x-values into the equation:

`y=-3x+4`

Let's start then:

`\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}`

The filled table is:

The slope of the equation can be found by using the formula:

`\begin{gathered} m=(y2-y1)/(x2-x1)=(4-10)/(0-(-2)) \\ m=(-6)/(2)=-3 \end{gathered}`

The slope is -3.

The y-intercept is the y-value at x=0, then the y-intercept is 4.