To graph this line, we need two points. Any two points.
To figure it out, we take any x value and find the corresponding y value.
We do this 2 times.
We will have 2 points. Then we draw a smooth line connecting the 2 points.
Let's take x = 0
So,
y = -5/4 (0) + 2
y = 2
So, the point is (0, 2)
Now, let's take x = 4, so:
[tex]\begin{gathered} y=-\frac{5}{4}x+2 \\ y=-\frac{5}{4}(4)+2 \\ y=-5+2 \\ y=-3 \end{gathered}[/tex]
So, the point is (4, -3).
Now, we connect the line through these points.
The graph, shown below:
