The slope of the line passing through the points (-4 , 0) and (7 , 0) is 0 ⇒ 3rd answer
Step-by-step explanation:
The formula of the slope of a line is ![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
where
and
are two points on the line
To find the slope
- Let one of the two points to be
![(x_{1},y_{1})](https://tex.z-dn.net/?f=%28x_%7B1%7D%2Cy_%7B1%7D%29)
- Let the other point
![(x_{2},y_{2})](https://tex.z-dn.net/?f=%28x_%7B2%7D%2Cy_%7B2%7D%29)
- Substitute them in the formula of the slope
- Calculate the value of m
∵ The line passes through points (-4 , 0) and (7 , 0)
∴
= -4 and
= 7
∴
= 0 and
= 0
- Substitute these values in the formula above
∴ ![m=\frac{0-0}{7--4}=\frac{0}{11}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0-0%7D%7B7--4%7D%3D%5Cfrac%7B0%7D%7B11%7D)
∴ m = 0
The slope of the line passing through the points (-4 , 0) and (7 , 0) is 0
Learn more:
You can learn more about the slope of a line in brainly.com/question/2654504
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