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:

$m=\frac{y_2-y_1}{x_2-x_1}$

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:

$2=\frac{1-(-8)}{x-(-4)}=\frac{9}{x+4}$

Operating:

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

Solving for x:

$\begin{gathered} 2x=9-8=1 \\ x=\frac{1}{2} \end{gathered}$

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