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Find the slope of the line passing through the points \[{\text{(3, - 2),(7, - 2)}}\].

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Last updated date: 15th Jun 2024
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Answer
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Hint: Slope can be calculate if two points are given can be given as \[{\text{m = }}\dfrac{{{{\text{y}}_{\text{2}}}{\text{ - }}{{\text{y}}_{\text{1}}}}}{{{{\text{x}}_{\text{2}}}{\text{ - }}{{\text{x}}_{\text{1}}}}}\]. Or either we can also use line intercept form to calculate the slope as by \[{\text{y = mx + c}}\]. So, you can solve two equations with two variables and calculate the value of m and c.

Complete step-by-step answer:
The given points are \[{\text{(3, - 2),(7, - 2)}}\],
To find the slope of the line passing through the points \[{\text{(3, - 2),(7, - 2)}}\]
Slope can be calculate if two points are given can be given as \[{\text{m = }}\dfrac{{{{\text{y}}_{\text{2}}}{\text{ - }}{{\text{y}}_{\text{1}}}}}{{{{\text{x}}_{\text{2}}}{\text{ - }}{{\text{x}}_{\text{1}}}}}\].
Now, put the values of given points in the equation of slope so,
\[
  {\text{m = }}\dfrac{{{\text{( - 2) - ( - 2)}}}}{{{\text{7 - 3}}}} \\
  {\text{m = }}\dfrac{{\text{0}}}{{\text{4}}} \\
  {\text{m = 0}} \\
  \]
Hence , the slope of the line is \[{\text{m = 0}}\] Passing through the given points.

Note: Straight Lines - is the line that does not change direction. Slope of a Line also called as gradient of straight line. x –Intercept is the point where the graph of the line crosses the x – axis, y – Intercept is the point where the graph of the line crosses the y – axis.
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of \[2\] points on a line by the difference of the x-coordinates of those same \[2\] points .