The answer is y=0
See the attached photo for details
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When they have no solutions, the lines are parlaell, or they have the same slope but different y intercept
example
3x+2y=2 and
3x+2y=4 are paralell
also
y=3x+2 and
y=3x+4 are also parlell, no solutions
infinite solutions are when they are the same line
they have the same slope and y intercept
to find out, simplify
3x+2y=4 and
6x+4y=8 are smae lien
also
y=3x+2 and
2y=6x+4 aer the same line
1 solution is when it is none of the above things
a normal thing, where the slopes are differnet
example
y=2x+2
y=3x+2
Yes, because it can be expressed as the quotient or fraction of two integers you
Answer:
<em>The equation of the straight line in point - slope form</em>
<em>y +1 = -2 ( x-2)</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given points are C( 2,-1) and D(1,1)
Slope of the line
m = -2
<u>Step(ii):-</u>
Equation of the straight line passing through the point ( 2,-1) and having slope
m =-2
y - y₁ = m ( x- x₁)
y - (-1) = -2 ( x-2)
y +1 = -2 ( x-2)
<u><em>Final answer:-</em></u>
<em>The equation of the straight line</em>
<em>y +1 = -2 ( x-2)</em>
Answer:
a) -3 gallons per hour
b) y = -3x +14
Step-by-step explanation:
Rate of change is computed by dividing the amount of change by the interval over which it occurred.
<h3>a)</h3>
Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.
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<h3>b)</h3>
The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...
y = -3x +14 . . . . gas in the tank after x hours
