Question

What is the equation of a line with a slope of -2 that passes the point (6,8)

Answer 1

y - 8 = -2(x - 6)

Explanation:

Given the slope and one point on the line, we should use the point-slope formula:

y - k = m(x - h), where (h, k) is the point and m is the slope.

Here, we have y - 8 = -2(x - 6)

Answer 2

y = - 2x + 20

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2, so

y = - 2x + c ← is the partial equation

To find c substitute (6, 8) into the partial equation

8 = - 12 + c ⇒ c = 8 + 12 = 20

y = - 2x + 20 ← equation of line