Question

Find the slope-intercept equation of the line that passes

through (2, - 4) and has a slope of 1/3.

Answer 1

y = 1/3x - 4 because y = mx + b the slope (m) is 1/3 and the y-intercept (b) is -4

Answer 2

y = 1/3x -14/3

Explanation:

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1/3x+b

Substitute the point into the equation

-4 = 1/3(2) +b

-4 = 2/3+b

Subtract 2/3 from each side

-4 -2/3 = b

-12/3 -2/3 = b

-14/3 =b

y = 1/3x -14/3