Related questions with answers

Write an equation for this line.

$m=5$ , passes through $(5,2)$

What is the slope of the line passing through the following points?

Find the slope of the line through P and Q. P(-5,1), Q(3,-2)

Question

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

Solution

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Answered three weeks ago

Answered three weeks ago

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Let 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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