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Graphs, Equation of Line, Midpoints and Line Segments

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1.) Find the distance between the points (4,-1) and (-5,3)
2.) Find the midpoint of the line segment with endpoints (5,-2) and (-3,12)
3.) Graph the equation
4.)
5.) Find the equation of the line with slope 0 and y-intercept (0,-2). Write your answer in the form y=mx+b
6.) Write the equation of the line passing through (5,2) and (4,-2)
7.) Find the vertex of the graph of the parabola f(x)=-
8.)
9.)
10.)
11.)
12.)
3x+2if x find f(-1)

13.) Which set of ordered pairs (x,y) define y as a function of x?
I.)
II.) {(5,1), (-3,4), (-3,2)}

14.) Determine the domain of the function f(x) =
15.) Consider all the ordered pairs shown on Graph A and all the ordered pairs shown on Graph B. Which set of ordered pairs defines a function?

16.) The length of the base of a triangle is eight times the length of its altitude. Express the area (A) of the triangle as a function of its altitude x.

17.) Find the slope of the line passing through the points (-1,-2) and (1,4)
18.)

For any two parallel lines:
A.
the slopes are zero
B.
the slopes are reciprocals
C.
the slopes are positive
D.
the slopes are equal

19.) Find the value of x in the domain of f(x)=-2x-3 for which f(x)=3
20.) If the quadratic function f(x)= -4x+6 is graphed the range has
A.) a maximum value
B.
a minimum value
C.
no maximum or minimum value
D.
many maximum and minimum values.

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https://brainmass.com/math/graphs-and-functions/graphs-equation-line-midpoints-line-segments-213890

Solution Preview

Please see the attached file for the complete solution.

1.) Find the distance between the points (4,-1) and (-5,3)

D = SQRT ((X2 - X1)2 + (Y2 - Y1)2)
= SQRT (81 + 16)
= SQRT (97)
= 17.5

2.) Find the midpoint of the line segment with endpoints (5,-2) and (-3,12)

MIDx = (X2 - X1)/2
= (-3 - 5)/2
= -4

MIDy = (Y2 - Y1)/2
= (12 + 2)/2
= 7

MID point is (-4, 7)

3.) Graph the equation

4.)

5.) Find the equation of the line with slope 0 and y-intercept (0,-2). Write your answer in the form y=mx+b

Slope 0 means m = 0 therefore
Y = b

y-intercept (0,-2) means b = -2, therefore:

y = -2

6.) Write the equation of the line passing through ...

Solution Summary

Twenty graphs, equation of line, ,midpoints and line segments related questions are answered.

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