Hello : let A(-2,6) B(3,-9)
the slope is : (YB - YA)/(XB -XA)
(-9-6)/(3+2) = -3
the slope is : -3
The slope of a line that passes through the points (-2, 6) and (3, -9) is -3.
"The change in y coordinate with respect to the change in x coordinate."
The slope of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For given question,
We have been given a line passing though the points (-2, 6) and (3, -9)
Let [tex](x_1,y_1)=(-2,6),(x_2,y_2)=(3,-9)[/tex]
Using the slope formula,
[tex]\Rightarrow m=\frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow m=\frac{-9-6}{3-(-2)} \\\\\Rightarrow m=\frac{-15}{5}\\\\ \Rightarrow m=-3[/tex]
Therefore, the slope of a line that passes through the points (-2, 6) and (3, -9) is -3.
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