Simultaneous equations 2x + y = 21 x - y = 6
2 answers:
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Answer:
y=2x-3
Step-by-step explanation:
Hi there!
We are given the points (0, –3) and (4, 5)
We want to find the equation of the line between these points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula , where
and
are points
We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.
m=
m=
Simplify
m=
m=
Divide
m=2
We found the slope of the line.
Here is the equation of the line so far:
y=2x+b
Now let's find b
As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0
One of the points we were given (0, -3) is actually the y intercept of the line!
The value of b is the value of y at the y intercept; in this case, b is equal to -3
Now substitute -3 as b in the equation.
y=2x-3
Hope this helps!
See more on this topic here: brainly.com/question/27172025
Answer: " \frac{1}{4} gal /hr ; or, write as: " 0.25 gal/hr. " .
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Step-by-step explanation:
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This is a "unit rate" problem;
that is: we want to solve for a particular quantity per [single] unit.
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→ in this case, per single "hour" ;
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So we convert:
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" 2 gal per 8 hours" ; to the correct number of:
_?_ gal per [single] hr.
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{<u>Note</u>: "gal" refers to: "gallon(s)" ;
"hr" refers to: "hour(s)" .}.
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→ " gal / hr. " ;
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→ " { [2÷2] / [8÷2] = 1/4 ;
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So, the answer is:
→ " " ;
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or: write as decimal:
→ " = (1 ÷ 4) = 0.25 " ;
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write the answer as:
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→ " 0.25 gal/hr. "
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Or, when we had:
→ "2/8" gal/hr ;
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Use calculator:
→ " = "2 ÷ 8" ;
= " 0.25 gal/ hr.
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So: The correct answer is:
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" \frac{1}{4} gal /hr ; or, write as: " 0.25 gal/hr. " ;
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Hope this is helpful to you!
Best wishes in your academic endeavors—
and within the "Brainly" community!
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