Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x+18y=−144
To put the equation 3x + 18y = -144 into slope-intercept form, we need to solve for y.
First, we need to isolate the term with y. We can start by subtracting 3x from both sides:
18y = -144 - 3x
Next, we simplify the right side of the equation:
18y = -3x - 144
To isolate y, we need to divide both sides by 18:
y = (-3/18)x - (144/18)
Simplifying the fraction:
y = -1/6x - 8
The equation in slope-intercept form is y = -1/6x - 8.
To put the equation 3x + 18y = -144 into slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept, follow these steps:
Step 1: Rearrange the equation to isolate y:
18y = -3x - 144
Step 2: Divide both sides of the equation by 18 to simplify the coefficients:
y = (-3/18)x - (144/18)
Step 3: Simplify the fractions:
y = (-1/6)x - 8
Therefore, the equation 3x + 18y = -144 in slope-intercept form is y = (-1/6)x - 8.
To put the given equation of a line into slope-intercept form, we need to isolate the y variable. The slope-intercept form of a line is given by:
y = mx + b
where m represents the slope of the line, and b represents the y-intercept.
Let's simplify the given equation step-by-step:
1. Start with the equation: 3x + 18y = -144
2. To isolate the y variable, we need to move the 3x term to the other side of the equation. We can do this by subtracting 3x from both sides:
18y = -3x - 144
3. Next, to simplify the fractions, let's divide every term by their greatest common divisor, which in this case is 3. This will simplify the equation:
(18y)/3 = (-3x)/3 - 144/3
6y = -x - 48
4. Finally, rearrange the equation in the slope-intercept form. Let's move the term with the y variable to the left side, and rewrite the equation:
6y = -x - 48
y = (-1/6)x - 8
Therefore, the given equation 3x + 18y = -144 can be simplified and expressed in slope-intercept form as y = (-1/6)x - 8.