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3 years ago

Find the slope of the line. 5x – 2y = 7

Mathematics

2 answers:

nika2105 [10]3 years ago

8 0

Answer:

Final answer is slope $m=\frac{5}{2}$

Step-by-step explanation:

Given equation is $5x-2y=7$

Now question says to find the slope.

Since given equation $5x-2y=7$ is a linear equation so we need to compare $5x-2y=7$ with slope intercept formula $y=mx+b$ to get the value of slope m.

Since $5x-2y=7$ is not in that form so first let's rewrite it in y=mx+b form

$5x-2y=7$

$-2y=-5x+7$

$y=\frac{-5x+7}{-2}$

$y=\frac{5}{2}x-\frac{7}{2}$

Now comparing with y=mx+b, we get $m=\frac{5}{2}$

Hence final answer is slope $m=\frac{5}{2}$

gtnhenbr [62]3 years ago

7 0

Answer:

Slope = 5/2

Step-by-step explanation:

It is given an equation of line 5x – 2y = 7

To find the slope of equation we have to rewrite this equation in y = mx + c form

To convert the given equation to y = mx + c

The given equation is

5x – 2y = 7

⇒ 5x + 7 = 2y

⇒ 2y = 5x + 7

⇒ y = (5x + 7)/2

y = 5x/2 + 7/2

The above equation is of the form y = mx + c

Here slope = m = 5/2

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Read 2 more answers

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,