Question

Find the slope of the line: Through $(5,-4)$ and $(1,3)$

Solution

VerifiedAnswered three weeks ago

Answered three weeks ago

Step 1

1 of 2Let the given two points be,

$A(x_1,y_1)=(5,-4)$

$B(x_2,y_2)=(1,3)$

The slope of line passing through $A$ and $B$ is,

$\begin{align*} \text{Slope of }\overline{AB}&=\dfrac{y_2-y_1}{x_2-x_1}\\ \\&=\dfrac{3-(-4)}{1-5}&&\text{Replace points A and B}\\ \\&=\dfrac{7}{-4}&&\text{Simplify}\\ \\&\boxed{=-\dfrac{7}{4}} \end{align*}$

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