Question

Find the slope of the line. On a coordinate plane, a line goes through (0, negative 2) and (2, negative 4). a. -1 c. -2 b. 2 d. 1 Please select the best answer from the choices provided A B C D Mark this and return

Answer 1

m = -1 (answer (a))

Explanation:

Recall that the slope of a straight line is m = rise / run.

As we go from the point (0, -2) to the point (2, -4), we see an increase of 2 in x and a decrease of 2 in y.

Thus, the slope of this line is m = rise / run = 2/(-2), or m = -1 (answer (a))

Answer 2

`\boxed {\boxed {\sf A. \ m= -1}}`

Explanation:

We are asked to find the slope of a line. The slope of a line gives the steepness and direction of a line. It is "rise over run" or the change in y over the change in x.

The formula for calculating slope is:

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

where (x₁, y₁) and (x₂, y₂) are the points the line passes through. The line passes through (0, -2) and (2, -4). If we match the values and their corresponding variable, we see that:

• x₁ = 0
• y₁ = -2
• x₂ = 2
• y₂= -4

Substitute the values into the formula.

`m= ((-4) - (-2))/((2) - (0))`

Solve the numerator. Remember 2 back-to-back negative signs become a positive sign.

• (-4) - (-2) = -4 +2 = -2

`m= (-2)/((2)-(0))`

Solve the denominator.

• (2) - (0) = 2-0=2

`m= (-2)/(2)`

Divide.

`m= -1`

The slope of the line is -1 and choice A is correct.