Aline contains (9,y) and (-6,3). it has slope 2/3, find y

The line contains (9,y) and (-6,3) Then y is 13

Solution:

Given that a line contains (9, y) and (-6, 3)

Slope of line is

To find: y

The slope of line is given as:

Substituting the values in formula,

Substitute

2(-6 - 9) = 3(3 - y)

Multiplying the terms with terms inside bracket

-12 - 18 = 9 - 3y

Move the variable to one side

-30 = 9 - 3y

On solving we get,

3y = 30 + 9

3y = 39

Divide both sides by 3, we get

y = 13

Thus y = 13

whatvare the choices

step-by-step explanation: