Question

Graph the line y= −5/2x + 2, then name the slope and y-intercept by looking at the graph.

Answer 1

ANSWER and EXPLANATION

We want to graph the given function:

`y=-(5)/(2)x+2`

To do that, we have to find two points that lie on the line.

Let us solve for y when x is 0 and 2.

When x = 0:

`\begin{gathered} y=-(5)/(2)(0)+2 \\ y=0+2 \\ y=2 \end{gathered}`

When x = 2:

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

Now, we have two points to plot the line: (0, 2) and (2, -3)

Let us plot the graph:

From the graph, we see that the slope of the graph is:

`m=-(5)/(2)`

and the y-intercept is:

`b=2`