Question

I need help on number 7. Please use 4 points

Answer 1

In order to graph this equation, we need at least two points that are solution to the equation.

To find these points, we can choose values for x and then calculate the corresponding values of y.

Choosing the x-values of -2, -1, 0 and 1, we have:

`\begin{gathered} x=-2\colon \\ y=-(5)/(2)\cdot(-2)-1 \\ y=5-1 \\ y=4 \\ \\ x=-1\colon \\ y=-(5)/(2)(-1)-1 \\ y=2.5-1 \\ y=1.5 \\ \\ x=0\colon \\ y=-(5)/(2)\cdot0-1 \\ y=-1 \\ \\ x=1\colon \\ y=-(5)/(2)\cdot1-1 \\ y=-2.5-1 \\ y=-3.5 \end{gathered}`

So we have the points (-2, 4), (-1, 1.5), (0, -1) and (1, -3.5). Graphing these points and the line that passes through them, we have: