Question 430119: ok here is the question graph 4x-y=1 by finding ordered pairs to satisfy the equation
im studying the thea study guide i see this in the book and gives me values to replace x but i dont understand how you get the values. have not done this stuff in years please help, thanks
Found 2 solutions by stanbon, haileytucki:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! graph 4x-y=1 by finding ordered pairs to satisfy the equation
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y = 4x-1
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If x = 0, y = -1
If x = 2, y = 7
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Plot the two points (0,-1) and (2,7)
and draw a line thru them:
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Cheers,
Stan H.
Answer by haileytucki(390)  (Show Source):
You can put this solution on YOUR website! ok, if I understand you correctly,
4x-y=1
Since 4x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 4x from both sides.
-y=-4x+1
Multiply each term in the equation by -1.
-y*-1=-4x*-1+1*-1
Multiply -y by -1 to get y.
y=-4x*-1+1*-1
Simplify the right-hand side of the equation by multiplying out all the terms.
y=4x-1
and
4x-y=1
Since -y does not contain the variable to solve for, move it to the right-hand side of the equation by adding y to both sides.
4x=y+1
Divide each term in the equation by 4.
(4x)/(4)=(y)/(4)+(1)/(4)
Simplify the left-hand side of the equation by canceling the common factors.
x=(y)/(4)+(1)/(4)
Combine the numerators of all expressions that have common denominators.
x=(y+1)/(4)
if you need to solve, finding the x and y intercepts:
4x-y=1
To find the x-intercept, substitute in 0 for y and solve for x.
4x-(0)=1
Multiply -1 by the 0 inside the parentheses.
4x+0=1
Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
4x=1
Divide each term in the equation by 4.
(4x)/(4)=(1)/(4)
Simplify the left-hand side of the equation by canceling the common factors.
x=(1)/(4)
To find the y-intercept, substitute in 0 for x and solve for y.
4(0)-y=1
Multiply 4 by each term inside the parentheses.
0-y=1
Combine all similar expressions.
-y=1
Multiply each term in the equation by -1.
-y*-1=1*-1
Multiply -y by -1 to get y.
y=1*-1
Solve the equation.
y=-1
These are the x and y intercepts of the equation 4x-y=1.
x=(1)/(4), y=-1
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