The equation of the graph shown plotted in the coordinate plane is y = x + 4. What statement is not true about this graph? A. Ea
ch value of y in an ordered pair that lies on this graph, except 0, is paired with two values of x. B. The value of x in every ordered pair that lies in this graph is less than the corresponding value of y. C. The slope between any two points on this graph is constant. D. The graph of this equation is a function.
2 answers:
Answer:
C
Step-by-step explanation:
The graph shown plotted in the coordinate plane is
<u>True Statements</u>
A. Each value of y in an ordered pair that lies on this graph, except 0, is paired with two values of x.
If you draw a horizontal for y > 0 you will see that there are two values of x.
B. The value of x in every ordered pair that lies in this graph is less than the corresponding value of y.
D. The graph of this equation is a function.
<u>False Statements</u>
C. The slope between any two points on this graph is constant.
This is true for a linear function. As this is a quadratic function, this is untrue.
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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)
