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:

$y=-\frac{5}{2}x+2$

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:

$\begin{gathered} y=-\frac{5}{2}(0)+2 \\ y=0+2 \\ y=2 \end{gathered}$

When x = 2:

$\begin{gathered} y=-\frac{5}{2}(2)+2 \\ y=-5+2 \\ y=-3 \end{gathered}$

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:

$m=-\frac{5}{2}$

and the y-intercept is:

$b=2$