Question

The pair of points below lies on a line with a given slope. what is the value of x that will result in a slope of 2?(4, 3), (x, -3); slope = 2A. 3B. 0C. 1D. 2

Answer 1

The equation to calculate the slope is given to be:

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

The following parameters are given:

`\begin{gathered} m=2 \\ (x_1,y_1)=(4,3) \\ (x_2,y_2)=(x,-3) \end{gathered}`

We can thereby substitute these values into the equation:

`\begin{gathered} 2=(-3-3)/(x-4) \\ 2=(-6)/(x-4) \end{gathered}`

Cross multiplying, we have:

`\begin{gathered} 2(x-4)=-6 \\ 2x-8=-6 \end{gathered}`

Adding 8 to both sides, we have:

`\begin{gathered} 2x=-6+8 \\ 2x=2 \end{gathered}`

Dividing both sides by 2, we have:

`x=1`

OPTION C is the correct answer.