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2 years ago

1. What is the slope of the line 2x-3y=6? *

Mathematics

1 answer:

Sedbober [7]2 years ago

5 0

Answer:

2/3

Step-by-step explanation:

To find the slope easily, let's first convert 2x - 3y = 6 into slope intercept form y = mx + b where m is the slope and b is the y-intercept.

2x - 3y = 6

-3y = -2x + 6

y = (-2x + 6)/-3

y = 2/3(x) -2

m = 2/3

The slope is 2/3

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Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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3 years ago

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Sedaia [141]

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2 years ago

A=8, b=2, and c= 1/2 ab= ? ca=? 4a=?

jarptica [38.1K]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

M+2/3=1/4m-1 what the formula used to find the value of m?

zimovet [89]

Answer:

The value of m is $\frac{-5+\sqrt{34}}{6} \text { or } \frac{-5-\sqrt{34}}{6}$ by using quadratic formula

Solution:

Given, expression is $m+\frac{2}{3}=\frac{1}{4 m}-1$

Now, we have to solve the above given expression.

$\text { Now, } \mathrm{m}+\frac{2}{3}=\frac{1}{4 m}-1$

By multiplying the equation with m, we get

$\begin{array}{l}{m^{2}+\frac{2}{3} m+m=\frac{1}{4}} \\\\ {m^{2}+m\left(\frac{2}{3}+1\right)=\frac{1}{4}} \\\\ {m^{2}+\frac{5}{3} m=\frac{1}{4}}\end{array}$

$\begin{array}{l}{12 m^{2}+20 m=3} \\ {12 m^{2}+20 m-3=0}\end{array}$

Now, let us use quadratic formula

$\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in our problem, a = 12, b = 20, c = -3

$\begin{array}{l}{m=\frac{-20 \pm \sqrt{20^{2}-4 \times 12 \times(-3)}}{2 \times 12}} \\\\ {=\frac{-20 \pm \sqrt{400+144}}{24}} \\\\ {=\frac{-20 \pm \sqrt{544}}{24}} \\\\ {=\frac{-20 \pm 4 \sqrt{34}}{24}=\frac{-5 \pm \sqrt{34}}{6}} \\\\ {=\frac{-5+\sqrt{34}}{6} \text { or } \frac{-5-\sqrt{34}}{6}}\end{array}$

Hence the value of m is $\frac{-5+\sqrt{34}}{6} \text { or } \frac{-5-\sqrt{34}}{6}$ by using quadratic formula

7 0

3 years ago