Question

Given the point (10, 25) and m = 2.5 , write the equation for the function m(t) point-stope form.

Answer 1

the equation for the function m(t) point-stope form will be:

• 
  `y - 25 = 2.5 (x - 10)`

Hence, option D is correct.

The graph is attached below.

Explanation:

Given

Point (10, 25)

Slope m = 2.5

To determine

Write the equation for the function m(t) point-stope form.

We know that the point-slope form of the line equation is

`y-y_1=m\left(x-x_1\right)`

where

• m is the slope of the line

• (x₁, y₁) is the point

In our case:

• m = 2.5

• (x₁, y₁) = (10, 25)

so

substituting the values m = 2.5 and the point (10, 25) in the equation

`y-y_1=m\left(x-x_1\right)`

`y - 25 = 2.5 (x - 10)`

Therefore, the equation for the function m(t) point-stope form will be:

• 
  `y - 25 = 2.5 (x - 10)`

Hence, option D is correct.

The graph is attached below.