Put the following equation of a line into slope-intercept form, simplifying all fractions.
3, y, minus, 2, x, equals, minus, 9
3y−2x=
−9
To put the equation into slope-intercept form, we need to isolate the y variable on one side of the equation.
Starting with the given equation: 3y - 2x = -9
First, we'll move the -2x term to the other side of the equation by adding 2x to both sides:
3y = 2x - 9
Next, we'll divide both sides by 3 to solve for y:
y = (2/3)x - 9/3
y = (2/3)x - 3
Therefore, the equation in slope-intercept form is: y = (2/3)x - 3.
To put the given equation of a line in 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.
Starting with the given equation:
3y - 2x = -9
First, we need to get rid of the -2x term by adding 2x to both sides of the equation:
3y - 2x + 2x = -9 + 2x
Simplifying the equation gives us:
3y = 2x - 9
Next, to isolate y, we divide all terms by 3:
3y/3 = (2x - 9)/3
This simplifies to:
y = (2/3)x - 3
Hence, the equation of the line in slope-intercept form, with all fractions simplified, is:
y = (2/3)x - 3.
To put the equation 3y - 2x = -9 into slope-intercept form, we need to solve for y and simplify any fractions.
Step 1: Move the term with x to the other side of the equation by adding 2x to both sides:
3y - 2x + 2x = -9 + 2x
This simplifies to:
3y = 2x - 9
Step 2: Divide both sides of the equation by 3 to isolate y:
(3y)/3 = (2x - 9)/3
This simplifies to:
y = (2/3)x - 3
Therefore, the equation 3y - 2x = -9 can be written in slope-intercept form as y = (2/3)x - 3.