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PLEASE PLEASE HELP
What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

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PLEASE PLEASE HELP What Is The Slope Of The Line That Passes Through The Points 1 2 And 4 3 을 3 class=

Sagot :

Explanation

  • Given two coordinate points.

[tex] \begin{cases} (-1, 2) \\ (-4, 3) \end{cases}[/tex]

  • Calculate and find the slope by using rise over run formula with two given points.

[tex]m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the coordinate points in.

[tex]m = \frac{3 - 2}{ - 4 - ( - 1)} \\ m = \frac{1}{ - 4 + 1} \longrightarrow \frac{1}{ - 3} \\ m = - \frac{1}{3} [/tex]

Hence, the value of m is - 1/3.

  • Slope-intercept

[tex]y = mx + b \\ \sf{where \: \: m \: \: = \: \: slope}[/tex]

Answer

[tex] \large\boxed{m = - \frac{1}{3} }[/tex]