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polet [3.4K]
3 years ago
6

What is the slope of the line whose equation is 2x-3y=5

Mathematics
2 answers:
Zarrin [17]3 years ago
6 0

Answer:

\large\boxed{\text{The slope}\ m=\dfrac{2}{3}}

Step-by-step explanation:

The slope-intercept form of a line:

y=mx+b

m - slope

b - y-intercept

We have the standard form of a line:

2x-3y=5

Convert to the slope-intercept form:

2x-3y=5          <em>subtract 2x from both sides</em>

-3y=-2x+5        <em>divide both sides by (-3)</em>

y=\dfrac{-2}{-3}x+\dfrac{5}{-3}\\\\y=\dfrac{2}{3}x=-\dfrac{5}{3}\to m=\dfrac{2}{3}

konstantin123 [22]3 years ago
5 0

Answer:

Step-by-step explanation:

subtract 2x from both sides of the equation

-3y=-2x+5

Divide each by -3 and simplify

- 3y/-3=-2x/-3+5/-3

reduce and cancel the common numbers

move the negative over from the denominator

-(-1*y)= - 2x/-3 +5/-3

simplify

- -2x/3

multiply  2x/3 by 1

y=2x/3+5/-3

move the negative in front of fraction

y=2x/3 -5/3

slope intercept form

y=2/3 x -5/3

the slope is 2/3

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jeka94

Answer:

A. The y-intercept of g(x) is less than the y-intercept of f(x).

Step-by-step explanation:

The x-intercept, or when x = 0, of f(x) is -4, the x-intercept of g(x) is -8, so g(x) are neither greater nor equal to f(x), this marks out C and D. The y-intercept, or when y = 0, is in this case f(x) or g(x). The y-intercept of f(x) is 16, the y-intercept of g(x) is 4, so the y-intercept of g(x) is not equal to the y-intercept of f(x), this marks out B. Now to check A, 4 < 16, so y-intercept of g(x) < y-intercept of f(x), the answer is A

5 0
3 years ago
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sveta [45]

Answer:

(-4, 2.5)

Step-by-step explanation:

-8/2=-4

5/2=2.5

8 0
3 years ago
On Planet Galactica, common units of distance are alpha, beta, and gamma. 4 gammas equal 5 betas. 2 betas equal 3 alphas. How ma
Ghella [55]

Answer:

1 gamma = 15/8 alphas

Step-by-step explanation:

so we start by finding out what 1 gamma and 1 beta equals.

we know 4 gammas = 5 betas so if we divide by four on both sides we get:

1 gamma = 5/4 betas. we can apply that same procedure to 2 betas = 3 alphas and get 1 beta = 3/2 alphas

we know that 1 gamma = 5/4 betas and 1 beta = 3/2 alphas so how many alphas = 5/4 betas? using a proportion of ((3/2)/1) = ((x)/(5/4)) we can find that 5/4 betas = 15/8 alphas

therefore we know 1 gamma = 15/8 alphas or 1 and 7/8 alphas

3 0
2 years ago
Kate runs 2/3 of a mile on Mondays, Wednesday's and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. How many miles doe
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Answer:

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

Step-by-step explanation:

We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.  

Therefore, we get

\frac{2}{3}+\frac{4}{5}=\frac{10+12}{15}=\frac{22}{15}=1+\frac{7}{15}

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

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3 years ago
PLEASE HELP ME WITH NUMBER 11, WORTH 15 POINTS!!! AAAAA
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Answer: 43.4

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3 years ago
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