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alexdok [17]
3 years ago
9

Find the slope (m) and y -intercept (b) of the equation in standar form 2x-3y=6​

Mathematics
2 answers:
klasskru [66]3 years ago
8 0

Answer:

m = \frac{2}{3} , b = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide all terms by - 3 )

y = \frac{2}{3} x - 2 ← in slope- intercept form

with slope m = \frac{2}{3} and y- intercept b = - 2

Viktor [21]3 years ago
5 0

Answer:

y- intercept is (0, -2)

slope is 2/3

Step-by-step explanation:

find 2 points on the line:

2x-3y=6

1/2*(6+3y) =x

if y is 2, x is 6 ((6,2))

if y is 4, x is 9 ((9, 4))

y-intercept is when x = 0.

0-3y=6

y=-2

slope is (y2-y1)/(x2-x1): choose y2 and the corresponding x-coordinate is x2. then the others are the 1's. let's use 4 as y2 which means:

x2 = 9

x1 = 6

y1 = 2

then plug in and solve.

(4-2)/(9-6)

= 2/3

m = 2/3

Hope this helps!

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What is the answer to 2(3x-4)-5=-7
kozerog [31]

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Step-by-step explanation:

1) Reorder the terms:

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2) Reorder the terms:

-8 + -5 + 6x = -7

3) Combine like terms: -8 + -5 = -13

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4) Solving

-13 + 6x = -7

5) Solving for variable 'x'.

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7) Add '13' to each side of the equation.

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4 0
3 years ago
Pamela is 7 years older than Jiri. The sum of their ages is 59. What is Jiri‘s age?
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ANSWER THIS MATH QUESTION
shusha [124]

Answer:

<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>

Step-by-step explanation:

Using the formula of derivative, it can be easily shown that, \frac{d f(x)}{dx} = 2 where f(x) = x^{2}.

Here we need to show that as per the instructions in the given table.

Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = (1 + 0.01)^{2} - 1^{2} = 0.0201.

In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.

Hence, dividing Δy by Δx, we get, \frac{0.0201}{0.01} = 2.01.

Let's examine this taking a smaller value.

If we take Δx = 0.001, then Δy = 1.001^{2} - 1^{2} =  0.002001.

Thus, \frac{0.002001}{0.001} = 2.001.

The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.

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