Answer:
see the explanation
Step-by-step explanation:
step 1
Identify the equation of the given line
we know that
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]m=5\\b=-1[/tex]
substitute
[tex]y=5x-1[/tex]
step 2
Identify the coordinates of four points on the line
First point
The given y-intercept
point (0,-1)
Second point
The x-intercept
For y=0
[tex]0=5x-1[/tex]
[tex]x=\frac{1}{5}=0.20[/tex]
point (0.20,0)
Third point
For x=1
[tex]y=5(1)-1=4[/tex]
point (1,4)
Fourth point
For x=2
[tex]y=5(2)-1=9[/tex]
point (2,9)
