Question

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

Answer 1

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 .