Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x+18y=-144
To put the equation of the line into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate y on one side of the equation.
Given equation: 3x + 18y = -144
First, we need to subtract 3x from both sides of the equation to isolate 18y:
18y = -3x - 144
Next, divide both sides of the equation by 18 to solve for y:
y = (-3/18)x - 144/18
Simplifying the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3:
y = (-1/6)x - 8
Therefore, the equation of the line in slope-intercept form (simplified) is y = (-1/6)x - 8.