Question

Find y if the line through (1, y) and (8, 2) has a slope of 3.

Answer 1

Answer: -19

Explanation:

I think I am correct I am sorry if not.

Here is how I got it-

m = 21 / 7 = 3 / 1 = 3

Equation: y = 3x - 22

Answer 2

y = -19

Explanation:

Pre-Solving

We are given two points: (1, y) and (8,2).

We want to find the value of y if the slope of the line is 3.

Solving

The slope (m) can be calculated from two points using the formula
`m = (y_2-y_1)/(x_2-x_1)` where
`(x_1, y_1)` and
`(x_2, y_2)` are points

We can label the values of the points to avoid any confusion and mistakes.

`x_1 = 1\\y_1=y \\x_2=8\\y_2=2`

Substitute these values into the formula.

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

`m = (2-y)/(8-1)`

Remember that the slope of the line is 3, so we can substitute m as 3.

Replace m as 3.

`3 = (2-y)/(8-1)`

Subtract.

`3 = (2-y)/(7)`

Multiply both sides by 7.

`3 * 7 = 7((2-y)/(7))`

21 = 2-y

Subtract 2 from both sides.

19 = -y

Divide both sides by -1.

-19 = y

y = - 19.