Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 2y = - 3 into this form
Subtract x from both sides
- 2y = - x - 3 ( divide all terms by - 2 )
y = 
x + 
← in slope- intercept form
with m =
• Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = - + c ⇒ c = 2 + = 
y = x + ← in slope- intercept form
Multiply through by 2
2y = x + 5 ( subtract 2y from both sides )
0 = x - 2y + 5 ( subtract 5 from both sides )
- 5 = x - 2y, thus
x - 2y = - 5 ← in standard form
The slope of a line is given by the ratio of the rise to the run of the line.
The value of, y is <u>4</u>
Reasons:
The given points on the line are; (-4, y), and (5, 7)
The slope of the line, = 
Required:
To find the value of <em>y</em>
<em />
Solution:
The formula for the slope is given as follows;
Where;
(x₁, y₁) = (-4, y)
(x₂, y₂) = (5, 7)
Which gives;
3·(7 - y) = 1·(5 + 4) = 9
21 - 3·y = 9
3·y = 21 - 9 = 12
The value of, y = <u>4</u>
Learn more here:
brainly.com/question/1617757
Answer: Communitive property of addition
Step-by-step explanation:
The communitive property states that if you reverse the order of a multiplication or addition problem you will get the same result.
communitive property examples
x + 2 = 2 + x
xy = yx
The probability of pulling an ace is 4 out of 32 or 4/32. There are four aces in a complete set of playing cards. If you need me to simplify, it would be 1 out of 8, or 1/8. I hope this is helpful!
Keep in mind the the word "percent" translates to "for each 100." 25% can be read as "25 for each 100," which has the fractional representation
and the decimal representation 0.25. All of these representations are just different ways of writing the same value.
Note too that the fraction
can be reduced to
, so what the question is really asking is: 1/4 of what number is 9?
Well, if we know that 1/4 of the number is 9, we can easily find how large the whole number is by finding all 4/4 of it (the <em>whole</em> number)<em /><em />, or 4 x 9, which multiplies out to
36.
