Answer:
(1,-2)
(1,-6)
(3,-3)
Step-by-step explanation:
Answer: It can also be written as 4/5 as a fraction or 4 to 5
Hey there!
In order to solve this equation for y, you need to use addition, subtraction, and division to combine and simplify the terms. You do this by first eliminating the terms, which you do by completing whatever will make each term equal to zero. Then, you'll repeat this same thing on the other side of the equation, like so:
<span>5y + 3 = 2y – 3x + 5
– 3 – 3
</span>
5y = 2y – 3x + 2
As you can see, I subtracted three from +3 the left side to cancel it out, then repeated that on the right side to the similar term (the constant). Now, just repeat that with your other terms until your equation is equal to y.
5y = 2y – 3x + 2
+ 2y + 2y
<u>7y</u> = <u>–3x + 2</u>
7 7
y = <u>–3x + 2</u>
7
When you can't simplify any more, you have your answer. y will be equal to –3x + 2 over 7.
Hope this helped you out! :-)
9514 1404 393
Answer:
1/3
Step-by-step explanation:
The slope of a line is the ratio of its "rise" to its "run." The "rise" is the change in vertical distance, and the "run" is the corresponding change in horizontal distance between two points on the line. The formula for the slope is ...

In this problem, you are told the line passes through the origin, which is point (x, y) = (0, 0), and through point (6, 2). Using these coordinates in the slope formula gives ...

__
You may notice that when the line passes through the origin, the slope is simply the ratio y/x of any point on the line. Here, that ratio is 2/6 = 1/3.
_____
<em>Additional comment</em>
A line through the origin is the graph of a <em>proportional</em> relationship. That is, y is proportional to x. The slope of the line is the <em>constant of proportionality</em>. The equation of the line is ...
y = kx . . . . . . where k is the constant of proportionality.
The line in this problem statement will have the equation ...
y = (1/3)x
<h2>-1/6 x -3/5 = 3/30 =<em><u>
1/10</u></em></h2>