Question

What is the equation in slope intercept form of the line that has a slope of 0.25 and passes through the point (6, - 8)

Answer 1

y = 0.25x - 9.5

Explanation:

The equation in point-slope form:

y = 0.25(x - 6) - 8

y = 0.25x - 1.5 - 8

y = 0.25x - 9.5 ← slope-intercept form

Answer 2

y = 0.25x - 9.5

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 = 0.25 , then

y = 0.25x + c ← is the partial equation

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

- 8 = 1.5 + c ⇒ c = - 8 - 1.5 = - 9.5

y = 0.25x - 9.5 ← equation of line