I’m going to assume you know slope-intercept form. The work will be displayed below on my magnificent, college-ruled paper.
Hi!
There might be different variations into how anyone would approach this problem but this is by far an easy way for me.
In order to solve fractional relationships with a variable, a perfect way to solve them would be to cross multiply and make them equal to each other.
You see the part '3y+12', and when you criss cross over to the other side of the equation, you get three. Multiply that together.
When you see the part '6', when you glide diagonally, you find '4y'. Multiply this together as well. Make them equal to each other.
(<em>This is how you do cross multiplication.)</em>
You should get something like this:
3(3y+12)=6(4y) Distribute the three on the left side and multiply. Do the same on the right.
9y+36=24y Now, you can combine like terms by subtracting 9y to the other side.
36=15y Isolate y and divide it by 15.
y=2.4
I was unclear of the answer, so I plugged in 2.4 into the original equation where the y variable was, and got the right answer, so 2.4 should be the correct one no matter how you got it.
I hope this helped!
The slope of the perpendicular line is the negative reciprocal of that of the given line, so is
-1/(3/5) = -5/3
Then the point-slope equation of the perpendicular line can be written as
y = (-5/3)(x -15) -5
y = (-5/3)x +20
The y-intercept of the perpendicular line is y=20.
Answer:
a) 0
b) 4.5
c) 3
d) 6
Step-by-step explanation:
Formula: 3x + 4y = 12
The questions contains the values of x. So here's an example of:
d) x = -4, y = ?
Using the formula: 3(-4) + 4y = 12
-12 + 4y = 12
4y = 24
y = 6
Do the same for the others!
