Question

Please help me solve thisThe value of the slope is 2.

Answer 1

The slope of a line

Given two points through which a line passes A(x1,y1), B(x2,y2), the slope of the line can be calculated with the formula:

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

We are given the point A(-4,-8) and the (incomplete) point B(?,1). Knowing the slope is m=2, we can calculate the missing value at point B. Let's call it x: B(x,1).

Substituting all the values in the formula of the slope, we get:

`2=(1-(-8))/(x-(-4))=(9)/(x+4)`

Operating:

`\begin{gathered} 2(x+4)=9 \\ 2x+8=9 \end{gathered}`

Solving for x:

`\begin{gathered} 2x=9-8=1 \\ x=(1)/(2) \end{gathered}`

The missing value is 1/2, thus point B is B( 1/2 , 1 )