Answer:
y=4/3x+2
Step-by-step explanation:
We need to write an equation in slope intercept form, or
y=mx+b, where m is the slope, and b is the y intercept
Slope
Slope can be found using this formula:
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Let's use the points (0,2) and (6,10) for (x1,y1) and (x2,y2)
So, x1 is 0, y1 is 2, x2 is 6 and y2 is 10, and we can substitute them in
[tex]m=\frac{10-2}{6-0}[/tex]
[tex]m=\frac{8}{6}[/tex]
This can be reduced to
[tex]m=\frac{4}{3}[/tex]
Y-Intercept
The y intercept can be found on the graph. It is the point where the line intersects the y/vertical axis. It intersects at 2.
b=2
Now we can substitute the b and m in the point slope formula
y=mx+b
y=4/3x+2
