Question

Find the slope of the line that passesthrough these two points.Point 1Point 2(-4,6) (-1,3)YıX2 Y2y2-yimX2-X1m = [?]X1

Answer 1

The slope m of a line passing through two points A (x₁, y₁) and B (x₂, y₂) is expressed as

$\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1}\text{ ----- equation 1} \\ \text{where} \\ (x_1,y_1)\Rightarrow coordinate\text{ of point A} \\ (x_2,y_2)\Rightarrow coordinate\text{ of point B} \end{gathered}$

Given the points: (-4, 6), (-1, 3).

This implies that

$\begin{gathered} x_1=-4, \\ y_1=6, \\ x_2=-1, \\ y_2=3 \end{gathered}$

Thus, substitute the above values into equation 1.

$\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ \text{thus,} \\ m=\frac{3-6}{-1-(-4)} \\ =\frac{-3}{-3} \\ \Rightarrow m=-1 \end{gathered}$

Hence, the