HELP Describe any similarities or differences in the following equations: y = 4x and y = -4x -3

Mathematics

2 answers:

Schach [20]3 years ago

7 0

9514 1404 393

Answer:

the lines have opposite slopes
each is a mirror of the other in the line y = -1.5
the point (-3/8, -3/2) is common to both lines

Step-by-step explanation:

The slope of the first line is 4; the slope of the second line is -4, so the slopes are opposites of each other. (The lines are not perpendicular.)

The y-intercept of the first line is 0; that of the second line is -3, so they cross the y-axis in different places.

Since the slopes are opposites of each other, one line is a reflection of the other about the horizontal line through the point where the lines meet. That point is ...

4x = -4x -3

8x = -3

x = -3/8

y = 4x = -3/2

The point of intersection (common to both lines) is (-3/8, -3/2).

Alexeev081 [22]3 years ago

6 0

Answer:

Step-by-step explanation:

y = 4x is proportional and linear ( y = coffienient(x) )

y = -4x - 3 is not proportional because it has a costant ( -3 )

They are both an equation, they have a coffienient, and a value like (x)

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Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

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Sx=2.5

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General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

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