Question

What is the slope of the line that passes through the points (10,-8) and (7,-8)?

Answer 1

slope = 0

Explanation:

To calculate the slope use the `color(blue)"gradient formula"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))`
where m represents the slope and `(x_1,y_1),(x_2,y_2)" 2 coordinate points"`

here the 2 points are (10 ,-8) and (7 ,-8)

let `(x_1,y_1)=(10,-8)" and " (x_2,y_2)=(7,-8)`

`rArrm=(-8-(-8))/(7-10)=0/(-3)=0`

A slope of zero indicates that the line is horizontal, parallel to the x-axis and passes through all points in the plane with the same y-coordinate.

For the 2 given points both y-coordinates are - 8 and so the equation of the line is `color(blue)"y=-8 ".`If you note this fact then it can be stated that the slope is zero without using the gradient formula.
graph{y-0.001x+8=0 [-20, 20, -10, 10]}