Question

Select the correct answer.

A linear function on a coordinate plane passes through (minus 3, 2), (0, 4), and (3, 6)

Which equation describes the line graphed above?

A.

y

=

3
2
⁢
x

−

6


B.

y

=

2
3
⁢
x

−

6


C.

y

=

3
2
⁢
x

+

4


D.

y

=

2
3
⁢
x

+

4

Answer 1

`answer: \large\boxed{=(2)/(3) x+4}`

Explanation:

(-3, 2) and (0, 4) and (3, 6)

Since the function is linear, if it passes through two coordinates, it has to pass through the third

Lets find the slope using:

`(y_2-y_1)/(x_2-x_1)`

Lets use (-3, 2) and (0, 4)

4-2/0-(-3) = 2/3

Therefore m = 2/3

Point slope form:

`y-y_1=m(x-x_1)`

using (0, 4)

y - 4 = 2/3 ( x - 0)

The equation is

`\large\boxed{=(2)/(3) x+4}`