The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope m = -3 and the y-intercept b = 1. Substitute:
[tex]y=-3x+1[/tex]
It is a linear function. We need only two points to plot the graph.
Select two values of x. Put them in the line equation and calculate the values of y.
for x = 0:
[tex]y=-3(0)+1=0+1=1\to(0,\ 1)[/tex]
for x = 1:
[tex]y=-3(1)+1=-3+1=-2\to(1,\ -2)[/tex]
