Answer:
Step-by-step explanation:
To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.
For instance, the base equation here is
This line passes through the point (0, 0).
You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.
A point on the line of y = 2x would thus be (3, 6).
To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:
Answer:
-7/(x-5) - 3
Step-by-step explanation:
First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.
Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.
Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.
Answer:
20736
Step-by-step explanation:
xy^4 = z
x=4 , y=3
(4*3)^4=z
12^4=z
z=20736
Answer:
(0,5)
Step-by-step explanation:
To find the y-intercept, substitute in 0 for x and solve for y.
y=x^2 + 3x + 5
y=(0)^2 + 3(0) +5
y=0+0+5
y=5
Since there is no x coordinate for a y-intercept, the answer is (0,5)
Step-by-step explanation:
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