to find the slope, change the equation to slope-intercept form y = mx + b the m is the slope and the b is the y-intercept so... x + 4y = 6 subtract x from both sides 4y = -x + 6 isolate y by dividing both sides by 4 y = -1/4x + 6/4 simplify y = -1/4x + 3/2 compare y = mx + b m is the slope so -1/4 is the slope of this equation
