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elena55 [62]
2 years ago
6

Which of the following are the correct properties of slope? Check all that apply

Mathematics
1 answer:
victus00 [196]2 years ago
3 0

A. The slope of a flat line is smaller than the slope of a steep line with a positive slope.

D. A negative slope means that the line moves down from left to right.

E. The slope of a flat line should be exactly 0.

<h3>How to identify a Slope?</h3>

The general slope intercept form equation is;

y = mx + c

where;

m is the slope(rate of change)

c is the y-intercept (value of y when x = 0)

Now, we can say the following about slopes;

  • If the slope is is zero, then the line is flat.
  • If the slope is positive, then the line is increasing.
  • If the slope is negative, then the line is decreasing.
  • A steep line has a high slope.

Looking at the options, we can say that options A, D and E are correct.

Read more about Slope at; brainly.com/question/1884491

#SPJ1

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Answer:

Problem 23) y=3x+6

Problem 24) y=-\frac{1}{3}x-5

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

A(0,2)\ B(3,1)

Substitute the values

m=\frac{1-2}{3-0}

m=-\frac{1}{3}

step 2

Problem 23

we know that

If two lines are perpendicular then the product of its slopes is equal to minus 1

so

m1*m2=-1

Find the slope of the line

we have

m1=-\frac{1}{3}

substitute in the equation and solve for m2

(-\frac{1}{3})*m2=-1

m2=3

with the slope m2 and the point (0,6) find the equation of the line

Remember that

The equation of the line in slope intercept form is equal to

y=mx+b

we have

m=3

b=6 -----> the given point is the y-intercept

substitute

y=3x+6

step 3

Problem 24

we know that

If two lines are parallel, then its slopes are the same

so

with the slope m1 and the point (0,-5) find the equation of the line

The equation of the line in slope intercept form is equal to

y=mx+b

we have

m=-\frac{1}{3}

b=-5 -----> the given point is the y-intercept

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y=-\frac{1}{3}x-5

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