Answer:
equation is y = x+4
Step-by-step explanation:
m = 1
y = mx + b
3 = 1*(-1)+b
3 = -1+b
b = 4
so
again
y = mx+b
y = 1x +4
so y = x+4
To find the equation of a line that is parallel to your original equation and goes through a certain point on a graph, here's what you need to know:
First you need to find the slope of your original equation.
To do that, you need to convert it to slope intercept form (y = mx+b).
Add the x over, and then divide everything by 5 to get the y by itself.
Here's what that would look like (without the small steps that I mentioned):
-x + 5y = 25
5y = x + 25
y = 1/5x + 5
That's the original equation rewritten in slope intercept form.
The m represents the slope, so this equation's slope is 1/5.
Because you are given a point, and now you have a slope, the best and easiest route is using point slope form.
I've seen different versions of the equation base but I prefer y - y(sub1) = m(x - x(sub1))
But since I can't use subscripts in this, I'll use the one with h and k. The h is the x value of the point, and the k is the y value.
(h,k)
Then just substitute the values in and solve for y.
y - k = m(x - h)
y + 5 = 1/5(x + 5)
y + 5 = 1/5x + 1
y = 1/5x - 4
Your final answer is
y = 1/5x - 4
You can double check by using a graph. If the slopes are the same, the lines should be parallel.
I hope that helps. If anything didn't make sense, feel free to ask me.
Answers:
Set construction:$40,000
Costumes and props:$40,000
Staff salaries:$50,000
Advertising:$30,000
Physical plant:$20,000
Misc:20,000
Explanation:
To get the answers multiply the percentage by the total. You can change the percentage to a decimal by living it two places to the right
Ex:20%=.2—>.2x200,000=40,000
Answer:
Step-by-step explanation:
if you multiply 2 to both sides, 2(3x+2y)=2*3, having 6x+4y=6
thus, the two equations are same (consistent), having infinite number of solutions (dependent).
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