Question

Graph the line with the given slope m and y-intercept b. m=-3,b=1

Answer 1

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = -3 and the y-intercept b = 1. Substitute:

$y=-3x+1$

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:

$y=-3(0)+1=0+1=1\to(0,\ 1)$

for x = 1:

$y=-3(1)+1=-3+1=-2\to(1,\ -2)$