Question

Enter an equation in point-slope form for the line. (6,8) and (7,1) is on the line. The equation of the line in point slope form is:

Answer 1

Answer:

$y - 8 = -7(x - 6)$ or $y - 1 = -7(x - 7)$

Step-by-step explanation:

The point-slope form equation is $y - b = m(x - a)$, where,

(a, b) = a point on the line.

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

Given the two points, (6, 8) and (7, 1), find the slope of the line:

$m = \frac{1 - 8}{7 - 6}$

$m = \frac{-7}{1}$

$m = -7$

There are two possible point-slope equation we can come up with using each points on the line given.

Using the point (6, 8) and m = -7,

Substitute m = -7, a = 6, and b = 8 into $y - b = m(x - a)$

$y - 8 = -7(x - 6)$

Using the point (7, 1) and m = -7,

Substitute m = -7, a = 7, and b = 1 into $y - b = m(x - a)$

$y - 1 = -7(x - 7)$