The general form of a linear equation is the slope-intercept form:
[tex]y=mx+b[/tex]Where m is the slope and b the intercept with the y-axis.
In the question we are asked to graph the line:
[tex]y=\frac{1}{4}x-1[/tex]We can identify that the slope is positive,
[tex]m=\frac{1}{4}[/tex]And the intercept with the y-axis is,
[tex]b=-1[/tex]Now we can graph the line, to graph the line you can first locate the intercept in the y-axis that is -1, after this, we use the slope. It is important for you to know that the slope is the change in y/ change in x, the slope we have is 1/4.
We locate in the -1 (y-intercept) and count 1 up (because the change in y is positive) and count 4 units to the right (because the change in x is positive), there we locate our other point (4,0), and with those two points located (0,-1) and (4,0) we draw the line.
