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3 years ago

Explain the difference between a line with zero slope and a line with an undefined slope

Mathematics

2 answers:

lubasha [3.4K]3 years ago

8 0

In algebra, we use the word <em>slope</em> to describe how steep a line is. Slope can be found using the ratio rise over run between any two points on that line.

A very common mistake made when dealing with slope is to think that a line with a slope of 0 is the same as a line with an undefined slope. However, they're not the same and are very different.

Take a look at the first image I provided.

To get from A to point B along this line, we rise 0 units and run 2 units. So our slope or rise over run is 0/3 which simplifies to 0. In fact, for any horizontal or flat line, the slope is always 0.

Take a look at the second image I provided.

To get from point A to point B along this line, we go down 5 units so our rise is -5. Our run however is 0 so our slope or rise over run is -5/0. It's important to understand that any number divided by zero is undefined so we say that this line is undefined or it has no slope.

In fact, any line that is vertical or straight up and down has no slope.

To summarize, it's important to understand that difference between and a slope of zero and no slope. Zero means that the line is flat or horizontal. No slope means we can't describe its slope using a number because the line is vertical and its slope is undefined.

allsm [11]3 years ago

7 0

Slope, in mathematics, is the rise or run between two points on a given line. Slope also measures the “steepness” of the line. The slope consists of two pair of points or coordinates that are represented by variables in form of letters “X” and “Y.” Any change in variable “Y” will affect the “X” variable.

The slope, lines, and points are plotted on a chart with integers (both positive and negative) on both the “X” and “Y” axis. The zero is placed in the center of the graph and lies in the intersection of both the “Y” and “X” axis. The system used to denote where the lines are drawn is the Cartesian system. The slope is often used in mathematical word problems especially linear equations.

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Guys, Can you please help me with these questions

MakcuM [25]

Answer:

a) $w^{13} x^{5} y^{6}$

b) $\frac{x}{3y^{6} }$

Step-by-step explanation:

a) $(w^{2} xy^{3} )^{2}(w^{3}x )^{3}$

1. Distribute the second power (2) outside the first pair of parenthesis:

$(w^{2(2)} x^{2} y^{3(2)} )$

= $w^{4} x^{2} y^{6} (w^{3}x )^{3}$

2. Distribute the third power (3) outside the second pair of parenthesis:

$(w^{3(3)} x^{3} )$

= $w^{4} x^{2} y^{6} w^{9} x^{3}$

3. Combine like terms:

$w^{13} x^{5} y^{6}$

--------------------------------------------

b) $\frac{2x^{2} y^{5} }{6xy^{11} }$

1. Factor the number 6 (= 2 · 3):

$\frac{2x^{2} y^{5} }{2(3)xy^{11} }$

2. Cancel the common factor (2):

$\frac{x^{2} y^{5} }{3xy^{11} }$

3. Cancel out $xy^{5}$ in the numerator an denominator:

$\frac{x}{3y^{6} }$

hope this helps!

4 0

2 years ago

1. What is the slope and the y-intercept for the

Usimov [2.4K]

Answer:

Step-by-step explanation:

Slope= -5

y-intercept= 4

7 0

3 years ago

Read 2 more answers

Sale Price: On opening day, a new music store offers a 16% discount on all electric guitars. If the regular price on a guitar is

svetoff [14.1K]

This can be done easily in a few ways. One, you could do equivelent fractions as this. 16 percent is the same as 16 over 100, or, 16/100, 100 being the total with an = sign with X over 550, or, X/550. you can multiply 16 by 500 and divide by 100 to get $88. Or you could do it my way, (prefered way). take the $550, divide it by 100, then multiply by 16 and get $88. either way you do this, you take away the $88 from $550 and get the sale price of [Drumroll please...]
<em><u>462 Dollars!</u></em>

6 0

3 years ago

Find the degree of this polynomial. .<br><img src="https://tex.z-dn.net/?f=%20-%205%20%7Bu%7D%5E%7B4%7D%20" id="TexFormula1" tit

Firlakuza [10]

Answer:

Step-by-step explanation:

The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients

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3 years ago

Which inequality represents the sentence below? The difference of a number and one and four tenths is more than nine and seventy

Marianna [84]

The inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

Before solving it, first let's discuss the tenth and hundredths,

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.
Hundredths is written as the fractional part of the number 100. The value of one hundredth is equal to 1/100 or 0.01.

Here, the sentence given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

One and four tenths can be written as,

$1\dfrac{4}{10}$

Nine and seventy-eight hundredths can be written as,

$9\dfrac{78}{100}$

Let suppose the number is <em>p</em>. This difference of this number and one four tenths is more than nine and seventy-eight hundredths. Thus,

$p-1\dfrac{4}{10} > 9\dfrac{78}{100}\\p-\dfrac{14}{10} > \dfrac{978}{100}\\p-1.4 > 9.78\\$

Hence, the inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

Learn more about the inequality equation here:

brainly.com/question/17724536

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2 years ago