Answer:
Step-by-step explanation:
let D be the line that passes through the points (6, -1) and (-6, 2)
Then D has an equation of the form D: y = ax + b
Now we need to find a and b in order to be able to write the equation of the line D:
Since the point (6 , -1) lies on the line D then :
-1 = (-1/4) × (6) + b
then
-1 = (-6/4) + b
then
b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2
then
b = 1/2
Conclusion:
Since a = -1/4 and b = 1/2 then
Answer:
3/4 = 16/x. Step-by-step explanation: Set up the original ratio: 3:4 (a.k.a. 3/4 or 3 to 4) Because 16 correlates to red paint and 3 correlates to red paint the will be in the same location (as the numerator or denominator).. Also, the amount of blue paint is unknown so that is x.4 also represents blue paint, so 4 and x will also be on the same level (as the numerator of denominator).
Step-by-step explanation:
Answer:
y = 2x + 3
Step-by-step explanation:
A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.
Start with y = mx + b, and replace m with 2, y with -1 and x with -2:
-1 = 2(-2) + b, or
-1 = -4 + b.
Then b = 3, and the desired equation is y = 2x + 3
Given that y varies directly with x in the above table, if the value of x is 5, the value of y is 15.
<h3>How to calculate direct variation?</h3>
According to this question, a 2-column table with 5 rows is given.
- Column 1 is labeled x with entries 1, 3, 6, 9, 12
- Column 2 is labeled y with entries 3, 9, 18, 27, 36
If y varies directly with x, the mathematical representation is as follows:
y = kx
Since y = 3, when x = 1
3 = k × 1
k = 3
The relationship between x and y is as follows: y = 3x
Therefore, if the value of x is 5, the value of y = 3 × 5 = 15.
Learn more about direct variation at: brainly.com/question/14254277
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Answer:
-3
Step-by-step explanation:
5-2 is three
3 times -2 is -6
-9-(-6) is -3
(2,-3)
