Question

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

Answer 1

y=4/3x+2

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=(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=(10-2)/(6-0)`

`m=(8)/(6)`

This can be reduced to

`m=(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

3y = 4x + 6

Explanation:

y-intercept: 2

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

4/3

y = (4/3)x + 2

3y = 4x + 6