Question

Find the slope of the line passing through the points (-3,3) and (7,3)

Find the slope of the line passing through the points (-7,1) and (-7,-7)

Answer 1

1. zero

2. not defined

Explanation:

You need to find the slope of the line passing through the points. I am going to apply the formula

`\bf{m=(y_2-y_1)/(x_2-x_1)}`

whereas -

• (x₁, y₁) and (x₂, y₂) are points on the line.

Plug that in:

`\bf{m=(3-3)/(7-(-3))`

`\bf{m=(0)/(7+3)}`

`\bf{m=(0)/(10)}`

`\bf{m=0}`

___________

Now for the second pair of points.

`\bf{m=(1-(-7))/(-7-(-7))`

`\bf{m=(8)/(0)`

`\bf{m= not\: de fined}`

Therefore, the slope is 0 for the first pair of points, and not defined for the second one.

Answer 2

(-3,3)(7,3)...notice how the y's are the same. They are both 3. When the y's are the same u have a horizontal line with a slope of 0.

(-7,1)(-7,-7)..notice how the x's are the same. They are both -7. When the x's are the same u have a vertical line with a slope that is undefined.