Question

Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). Include your work in your final answer.

Answer 1

y + 9 = 10(x - 6) is the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1)

Solution:

Given points are:

(6, -9) and (7, 1)

Let us find the slope of line

`m = (y_2-y_1)/(x_2-x_1)`

From given,

`(x_1, y_1) = (6,-9)\\\\(x_2, y_2) = (7, 1)`

Therefore,

`m = (1+9)/(7-6)\\\\m = (10)/(1)\\\\m = 10`

Thus slope of line is 10

The point slope form of line is given as:

`y - y_1 = m(x-x_1)`

Substitute m = 10 and
`(x_1, y_1)` = (6, -9) in above

`y + 9 = 10(x - 6)`

Thus the equation of line in point slope form is found