Question

Graph the line with the equation y = -5/4x + 2

Answer 1

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:

`\begin{gathered} y=-(5)/(4)x+2 \\ y=-(5)/(4)(4)+2 \\ y=-5+2 \\ y=-3 \end{gathered}`

So, the point is (4, -3).

Now, we connect the line through these points.

The graph, shown below: