Put the following equation of a line into slope-intercept form, simplifying all fractions.
8, x, plus, 6, y, equals, minus, 6
8x+6y=
−6
To convert the equation of a line into slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
Starting with the equation 8x + 6y = -6:
Subtract 8x from both sides of the equation:
6y = -8x - 6
To simplify the fractions, divide all terms by 6:
y = (-8/6)x - 6/6
Simplify the fractions:
y = (-4/3)x - 1