Put the following equation of a line into slope-intercept form, simplifying all fractions.
3, x, minus, y, equals, minus, 6
3x−y=
−6
To write the equation 3x - y = -6 in slope-intercept form, we need to solve for y.
Step 1: Add y to both sides
3x - y + y = -6 + y
3x = y - 6
Step 2: Swap the sides of the equation
y - 6 = 3x
Step 3: Rearrange the equation to put it in slope-intercept form (y = mx + b) where m represents the slope and b represents the y-intercept.
y = 3x + 6