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Answer:
y = (1/2)x + 2, in which 1/2 represents a fraction.
Step-by-step explanation:
Remember your formula y = mx + b; where m is the slope, and b is the y-intercept.
Now, simply look for the y-intercept (should be 0, 2), and plug in the x value in for the b.
The equation is now y = mx + 2.
For the next part, you'll find the slope; forewarning is that it doesn't matter how you do it, as long as you do it right. You can either use the slope formula, but I like to do rise over run. They're the same thing. If you don't know what rise over run is, look it up, it's pretty easy to understand. If not just do the slope formula.
Anyways, you need to grabs two different points that plot on the line; let's say (0, 2) and (2, 3). If you do the formula it should be (3 - 1) / (2 - 0). This will get you your 1/2.
Plug that into m, and your formula should be y = (1/2)x + 2, where 1/2 is a fraction.
To simplify the fraction, we need to rationalize the denominator by multiplying the numerator and denominator by the conjugate.
The conjugate is the same thing as the denominator with a plus sign instead of a minus sign.
(sqrt(2) + start(5))^2/((sqrt(2) - start(5))(sqrt(2) + start(5)))
FOIL the top and bottom.
The answer is -(7+2sqrt(10))/3
I have no idea I am sorry