Question

How do I graph a line with a equation in slope intercept form?An example is y=-3x+3, how do I graph this?

Answer 1

we have

y=-3x+3

to graph a line we need at least two points

so

Find out the intercepts

y-intercept (value of y when the value of x is zero)

For x=0

y=-3(0)+3

y=3

y-intercept is (0,3)

x-intercept (value of x when the value of y is zero)

For y=0

0=-3x+3

3x=3

x=1

x-intercept is (1,0)

therefore

Plot the points (0,3) and (1,0)

and join them to graph the line

see the attached figure to better understand the problem