Answer:
1.
[tex]y=\frac{1}{4}x+2[/tex]
m= [tex]\frac{1}{4}[/tex]
b= 2
2.
[tex]y=-\frac{1}{3}x+1[/tex]
m= [tex]-\frac{1}{3}[/tex]
b= 1
3.
[tex]y=3x+4[/tex]
m= 3
b=4
Step-by-step explanation:
1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.
The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that [tex]y=\frac{1}{4}x+2[/tex]
2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.
The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that [tex]y=-\frac{1}{3}x+1[/tex]
3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.
The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.
Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that [tex]y=3x+4[/tex]
