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.
Answer:
20 feet above sea level.
Explanation:
This can be solved by looking at the Rate of Change. It is given that for ONE minute that passes by, her elevation increases by ONE foot.
With this rate, after 20 minutes, the elevation can be shown as:
20 min × 1 foot= 20 feet.
Third choice is correct hope I helped:3
The probability that a biscuit picked at random contains chocolate
chips. = 1/5 , The Venn Diagram is attached with the answer.
<h3>What is Probability ?</h3>
Probability is defined as the study of likeliness of an event to happen.
It is given that
There are 30 biscuits in a tin
8 of the biscuits are iced, of which 6 contain chocolate chips
4 biscuits are neither iced nor contain chocolate chips.
the probability that a biscuit picked at random contains chocolate
chips.
There are total 6 biscuits which have chocolate chips
The probability that a biscuit picked at random contains chocolate
chips. = 6/8 *8/30 = 6/30 = 1/5
The probability that a biscuit picked at random contains chocolate
chips. = 1/5
The Venn Diagram is attached with the answer.
To know more about Probability
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