Question

A line with a slope of 3 passes through the points (-10, z) and (-8, 8). What is the value of

z?
Z=?

Answer 1

z=2

Explanation:

We are given that a line has a slope of 3.

The line passes through the points (-10, z) and (-8, 8)

We want to find the value of z.

To do that, we can calculate the slope.

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

Even though we already have 2 points, let's label their values to avoid any confusion.

`x_1=-10\\y_1=z\\x_2=-8\\y_2=8`

Now substitute those values into the formula, and set it equal to 3. Remember that the formula uses subtraction.

`(8-z)/(-8--10)` = 3

We can simplify this first.

`(8-z)/(-8+10)` = 3

`(8-z)/(2)` = 3

We can multiply both sides by 2 to clear the fraction and make it easier to calculate.

2(
`(8-z)/(2)`) = 2(3)

Multiply.

8 - z = 6

Subtract 8 from both sides

-z = - 2

Multiply both sides by -1.

-1(-z) = -1(-2)

Multiply.

z = 2