Question

What is the equation of the line that passes through the point (6,-5) and has a
slope of 1/3?

Answer 1

y = 1/3x - 7

Explanation:

start with the point-slope form:

(y-y1) = m(x-x1)

substitute the values of (x,y) into the formula:

(y-(-5)) = 1/3(x-6)

y+5 = 1/3x - 2

now write in slope-intercept form:

y = 1/3x - 2 - 5

y = 1/3x - 7