Can anyone tell me where I can go to find a better understanding on how to solve this type of problem:
(-7,2); 3x=2y+9. what is the equation of the line is y=() simplify the answer using integers or fractions.
I will derive an Eq passing through the given point with a slope = to that
of given Eq.
(-7 , 2), 3x = 2y + 9
3x - 2y = 9, STD Form,
Slope = -A/B = -3/-2 = 3/2,
Y = mx + b,
Substitute x,y from given point into
new Eq:
2 = (3/2)(-7) + b,
Solve for b:
2 = -21/2 + b,
21/2 + 2 = b,
25/2 = b or b = 25/2.
New Eq: y = (3/2)x + 25/2.
thanks Henry... the explanation is great.
To find the equation of the line in the form "y =", we need to rearrange the given equation to isolate y. Here's how you can solve it step by step:
1. Start with the equation: 3x = 2y + 9.
2. Subtract 9 from both sides of the equation to move the constant term to the other side: 3x - 9 = 2y.
3. Rewrite the equation with y on the left side: 2y = 3x - 9.
4. Divide both sides of the equation by 2 to isolate y: y = (3x - 9) / 2.
So, the equation of the line in the form "y =" is y = (3x - 9) / 2.
To simplify the answer, you can further simplify the expression (3x - 9) / 2 if needed. However, since the question specifies to simplify using integers or fractions, the equation provided above is already in simplified form.