Question

Use the graph to write a liner function that relates y to x

Answer 1

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:

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

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

$m=\frac{10-2}{6-0}$

$m=\frac{8}{6}$

This can be reduced to

$m=\frac{4}{3}$

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

Answer 2

Answer:

3y = 4x + 6

Step-by-step explanation:

y-intercept: 2

Slope: (6-2)/(3-0)

4/3

y = (4/3)x + 2

3y = 4x + 6