Answer:
Step-by-step explanation:
First, put -4x+y=7 into y=mx+b format
move -4x to the other side (or add 4x on both sides)
y=4x+7
now, parallel lines have the same slopes, but not the same y intercepts.
So, you already know the slope of your new line
y=4x+b
now we need to find b (y intercept)
take the point (4,-3) and put it into the equation above
-3=4(4)+b
-3=16+b
move 16 to the other side (or subtract 16)
-19=b
therefore the new line will be y=4x-19
Hope this helps!
Answer:
-5 5/8
Step-by-step explanation:
You first have to find the slope using the slope formula. That looks like this with our values:

. So the slope is -1/8. Use one of the points to first write the equation in y = mx + b form. We have an x and a y to use from one of the points and we also have the slope we just found. Filling in accordingly to solve for b gives us

and

. Adding 5/8 to both sides and getting a common denominator gives us that

. Writing our slope-intercept form we have

. Standard form for a line is Ax + By = C...no fractions allowed. So let's get rid of that 8 by multiplying each term by 8 to get 8y = -x - 11. Add x to both sides to get it into the correct form: x + 8y = -11
The equation for percentage increase is
{(New value - old value) / old value} x100%
Therefore it should be
{(22.5 - 19.5) / 19.5} x 100%
=15% (rounded to nearest whole number)
Answer is B
Answer:
y = 8x + 4(6)
y = 8x + 24
Step-by-step explanation:
8 friends bought tickets to a hockey game at $x
4 of them also bought a guide book at $6
If y = total cost
8 people bought tickets and 4 bought guides.
Then simplify by multiplying 4 and 6.