<span>Use the Pythagorean Theorem to solve. This will be a right triangle:
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Let the slope = the hypotenuse = c
Let one side = a=8
Let the other side =b =15
Plug-in the values and solve for the c-term
Check you answer by plugging the value of "c" back into the orignial equation and solve.
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17=c
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Check by plugging into the original equation and solve.
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289=289 [checks out]</span>
Use subtitution method to solve the problem.
First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x
Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3
Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4
For x = 3
y = 4 - x
y = 4 - 3
y = 1
The solution is (0,4) and (3,1). The answer is option b
-1/2 is the slope of the line!
The answer is –x + 5 = 6x - 2. This is because of the Transitive Property.
You most likely remember the transitive property as "if a = b and b = c, then a = c." In this case, if y = -x + 5 and y = 6x - 2, then -x + 5 = 6x - 2.
