Refer to the image for the graph of the lines.
The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.
We need to draw any line with a slope m = 2, and
another line with a slope m = -2.
Disclaimer: Let us assume that the constant c = 0.
Then the equation to the line with a slope of "positive" 2 is given by
y = 2x
Then the equation to the line with a slope of "negative" 2 is given by
y = -2x
Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.
f: green line indicates a line with a slope of "positive" 2.
g: blue line indicates a line with a slope of "negative" 2.
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Answer:
f(x)=x+2 Passes through
x-y=2 DOES NOT pass through
Step-by-step explanation:
Method- plug in x and see if the y matches the points. (1,3) (7,9)
f(x)=x+2
f(1)=1+2=3
f(7)=7+2=9
Matches!
x-y=2
1-y=2 --> y=-1
Does not match
15y+3=18
-15 -15
—————
3=3y
— —
3 3
=1y
To prove that tan(u - v) does not equal tan u - tan v, we start by assuming values for u and v.
To do this, we assume the following values
So, we have:
Substitute the assumed values for u and v
Subtract 45 from 75
Using a calculator, calculate the values of tan(30), tan(45) and tan(75)
So, we have:
Subtract 1 from 3.7321
Notice that the expression on the left-hand side and the expression on the right-hand side are not equal.
Hence, is true
Read more about proofs of trigonometry at:
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y= 1/10x - 6
Which if you plug in 70 for x, y equals 1.
Rebecca has $1 and Tim has $70, together they have $71.