Slope of a line {coordinate geometry}

In the standard (x,y) coordinate plane, what is the slope of the line with the equation 2y - 6x = 4?
A.)  2
B.)  3
C.)  4
D.)  6
E.)  -3

Slope-intercept form for the equation of a line is y = mx + b.
m is the slope {how much the line rises over how much it runs}
b is the y-intercept {where the line crosses the y-axis}

2y - 6x = 4
2y = 6x + 4 {added 6x to both sides}
y = 3x + 2 {divided both sides by 2}
slope = 3 {the number in front of the x, when the equation is in slope-intercept form}

B.) 3

- Algebra House