Find Slope of a line that passes through two given points

Find
Slope of a Line
that passes through
two given Points

QUESTION: What is the slope of the line that passes through points (-2, 7) and (-2, 9)?

SOLUTION:

As we can see in the image above that the line passing through the points (-2, 7) and (-2, 9) is parallel to y-axis, so its slope will be infinity.

This can be proved by the formula also.

Slope m of a line passing through two points `(x_1,y_1)` and `(x_2,y_2)` is:

m =`\frac{(y_2-y_1)}{(x_2-x_1)}` --------------(1)

Here

`(x_1,y_1)`= (-2, 7)

which implies

`x_1` = -2 and `y_1` = 7

And

`(x_2,y_2)` = (-2, 9)

which implies

`x_2`= -2 and `y_2`= 9

Put values of `x_1`, `y_1`, `x_2` , `y_2` in equation (1)

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

m =`\frac{9-7}{-2-(-2)}`

m =`\frac{2}{-2+2}`

m =∞