Question

Use technology to find points and then graph the line y=-5(x-5)+1 following the instructions below.

Answer 1

Given:

$y=-5(x-5)+1$

First, let us find two points from this equation.

We can set values of x and then solve for y.

Let us find the values of y when x = 1, 2, 3, 4, 5

$\begin{gathered} y=-5(x-5)+1 \\ y=-5(1-5)+1=21 \\ y=-5(2-5)+1=16 \\ y=-5(3-5)+1=11 \\ y=-5(4-5)+1=6 \\ y=-5(5-5)+1=1 \end{gathered}$

We now have a set of points:

(1, 21)

(2, 16)

(3, 11)

(4, 6)

(5, 1)

Since the given plane is limited to values of 10 and -10, the points that we can plot are the points (4, 6) and (5, 1)

The graph would then look like this: