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

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

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

Therefore,

$m = \frac{1+9}{7-6}\\\\m = \frac{10}{1}\\\\m = 10$

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