Question

What is the slope of the line represents by 5x-12y=24 -2 24/5 -12 5/12 How do you get the answer? Please epxlain

Answer 1

5x - 12y = 24 - it's a standard form of equation of a line

The slope-intercept form: y = mx + b

m - slope

b - y-intercept.

Convert the standard form to the slope-intercept form:

$5x - 12y = 24$       subtract 5x from both sides

$-12y=-5x+24$      divide both sides by (-12)

$y=\dfrac{5}{12}x-2$

Answer: $\boxed{\dfrac{5}{12}}$