Put the following equation of a line into slope-intercept form, simplifying all fractions.
3y−3x= 12
To put the equation into slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
Starting with 3y − 3x = 12, we'll first add 3x to both sides to move the term containing x to the other side of the equation:
3y = 3x + 12
Next, we can divide both sides of the equation by 3 to isolate y:
y = (3x + 12)/3
Simplifying the fraction by dividing both terms by 3, we get:
y = x + 4
To convert the equation 3y - 3x = 12 into slope-intercept form, we need to isolate y on one side of the equation.
First, we'll add 3x to both sides of the equation to move the term -3x to the right side:
3y - 3x + 3x = 12 + 3x
Simplifying, we have:
3y = 3x + 12
To simplify the fraction, we can divide both sides of the equation by 3:
3y/3 = (3x + 12)/3
y = x + 4
Therefore, the equation in slope-intercept form is y = x + 4.
To simplify the equation and put it into slope-intercept form, we need to solve for y.
Let's start by isolating the y-term on one side of the equation.
3y - 3x = 12
First, we move the -3x term to the right side by adding 3x to both sides of the equation:
3y = 3x + 12
Next, we simplify the fraction by dividing both sides of the equation by 3:
y = (3x + 12) / 3
Now, let's simplify the expression (3x + 12) / 3:
Dividing each term by 3, we get:
y = (3/3)x + (12/3)
Simplifying further:
y = x + 4
Finally, we have the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 1 and the y-intercept is 4.