Solve the equation -2(2x+3)+11=11-3x
1 answer:
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Answer: y - 1 = –(x –7)
or y –5 = –1(x –3)
The attachment shows the graph of these equations (identical)
Step-by-step explanation:
The basic form for a point-slope equation is
y - b = m(x - a)
a is the x-value from the given coordinate, b is the y-value form the given coordinate, m is the slope. x and y are the variables in the function.
To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."
Subtract the first coordinate from the second coordinate.
Given coordinate points: (3,5) and (7,1) substitute values:
m= 1 –5 / 7 –3 becomes m= –4/4 so the slope, m = –4/4
That is –1 The "1" is "understood," so only the negative sign represents the slope in the equation
To write the equation: Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.
y - b = m(x - a) Using the second coordinate: (7,1)
y - 1 = –(x –7)
or using the first coordinate:
y –5 = –(x –3)
Answer:
Step-by-step explanation:
We want to find the equation of a circle P, and we know that the square RSTU is inscribed in the circle, this means that if we replace the points:
R(0,4) S(6,2) T(4,-4) and U(-2,-2) the equation must be verified.
Then, we have to replace the points in each option to see which one is the correct answer.
Option A:
- R(0,4):
We can see that R doesn't belong to the equation of the circle.
We could replace the rest of the points in the equation, but since we already know that R does not belong to the circle, we already know that it is not the right option.
Option B:
- R(0,4):
The point R(0,4) verifies the equation.
- S(6,2):
The point S doesn't belong to the equation of the circle, then we already know that this isn't the correct option.
Option C:
- R(0,4):
The point R verifies the equation.
- S(6,2):
The point S verifies the equation.
- T(4,-4):
The point T verifies the equation.
- U(-2,-2):
The point U verifies the equation.
<em>We can see that the four points RSTU verifies the equation. This means that the square RSTU is inscribed in circle P whose equation is: </em>
<em>We can see that the graph of the equation verifies the answer.</em>
