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2 years ago

Find the slope and the y-intercept of the graph of the linear equation y=5/4x-7. The slope is ?, and the y-intercept is ?.

Mathematics

2 answers:

Tanya [424]2 years ago

7 0

Answer:

5/4 slope

-7 y intercept.

Step-by-step explanation:

The slope is the number in front of the x. The number in front of the x is 5/4. The slope is 5/4

1. The y intercept is whatever is behind the x or 0 if there is no number following the x.

2. The y intercept is also characterized by being on the same side of the equation as the x.

3. Finally it has no x in it.

In this case the y intercept is -7

Examples

y + 2 = x 2 is not the y intercept. subtract 2 from both sides. y = x - 2. Therefore -2 is the y intercept.

2y = 4x + 6 4 is not the slope. You have to divide by y = 2x+3. So 2 is the slope and 0,3 is the y intercept.

babunello [35]2 years ago

3 0

Answer:

Not Linear.

Step-by-step explanation:

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A tank has capacity 6 L and initially contains 11 mg of salt dissolved in 3 L of water. A solution containing 1 mg/L of salt ent

BlackZzzverrR [31]

Answer:

The answer is below

Step-by-step explanation:

a) The maximum capacity of he tank is 6 L and initially it contains 11 mg of salt dissolved in 3 L of water. Solution enters the tank at a rate of 3 L/hr, therefore in x hours, the amount of water that have entered the tank = 3x.

Solution also leaves the tank at a rate of 2L/hr, therefore in x hours, the amount of water that have left the tank = 2x

Hence the amount of water present in the tank at x hours is given as:

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3 + x = 6

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$\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\ \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg$

8 mg/ 6 L = 4/3 mg/L

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2 years ago

Plzzzzzzzzzzzzzz helpppppppp meeeeeee

zepelin [54]

Y = -3/4x + 6

you write in the y=mx+c form!
m= the slope
c = the y-intercept. (it is the second number of the coordinates)

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1 year ago