Answer:
The standard form of the equation is 2x + 5y = -1
Step-by-step explanation:
To find this equation in standard form, we first need to find the slope of the line. We can do that by using the slope formula with the two points.
m(slope) = (y2 - y1)/(x2 - x1)
m = (1 - -3)/(-3 - 7)
m = 4/-10
m = -2/5
Now that we have the slope, we can use that along with the point in point-slope form
y - y1 = m(x - x1)
y - 1 = -2/5(x + 3)
Now that we have that, we can solve for the constant and rationalize the denominators.
y - 1 = -2/5x - 6/5
2/5x + y - 1 = -6/5
2/5x + y = -1/5
2x + 5y = -1
The system of equations would be x + y = 28 and 3x + 5y = 100.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
A test is worth 100 points. Multiple-choice questions are worth 3 points and short-answer questions are worth 5 points.
If the test has 28 questions
Let x be multiple-choice questions
Let y be short-answer questions
The system of equations would be
x + y = 28
3x + 5y = 100
Learn more about equations here;
brainly.com/question/10413253
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Answer:
The answer is 4.35, rounded two decimals to hundredths place.
<em>some text here to make the answer slightly longer for some good reasons. yep.</em>
<u>Answer-</u>
<em>The winner read </em><em>5 pages</em><em> more than the loser.</em>
<u>Solution-</u>
In the x axis days of the week is represented.
In the y axis number of pages read is represented.
Total pages read by each can be calculated by adding the number of pages read by them each day i.e starting from Monday to Friday.
Total number of pages read by Javi is,
Total number of pages read by Merianne,
So, Javi is the winner because she read 125-120=5 pages more than Merianne.
