Question

What is the slope of a line that is parallel to -x + 3y = 6
A -1
1/3
C 3
D6

Answer 1

\frac{1}{3}

Explanation:

To best interpret the slope of a line, it is worthwhile to rewrite the equations into slope-intercept form. Slope-intercept form provides an easily legible slope and y-intercept, hence the name.

Slope intercept form: y = mx+b, where m is the slope and b is the intercept

`-x + 3y = 6\\3y -x + x = 6 + x\\3y = 6 + x\\3y/3 = (6+x)/3\\y = 2 + (1)/(3)x\\y= (1)/(3)x + 2`