Question

In each of the following problems, graph the line with the given slope m and y-intercept b.

Answer 1

Take into account that in general, a linear function can be written as follow:

$y=mx+b$

where m is the slope of the line and b the y-coordinate of the y-intercept.

In this case, you have that m=1/5 and b=-3, then, the line equation is:

$y=-\frac{1}{5}x-3$

In order to graph the line, proceed as follow:

Use two values of x to replace into the equation for y, for instance, use 0 and 5:

$\begin{gathered} y=\frac{1}{5}(0)-3=-3 \\ y=\frac{1}{5}(5)-3=1-3=-2 \end{gathered}$

The previous results mean that (0,-3) and (5,-2) are two points on the line.

Place the previous points on the coordinate system, and draw a straight line which crosses these points:

The red line is the graph of the given function.