Answer:
first you need to write the given equation in a standard form
4x - 7y = 9
-7y = -4x + 9
y = 4/7x - 9/7
*parallel lines have equal gradient
m = 4/7
y - y1 = m(x - x1)
y - 3 = 4/7(x -7)
y - 3 = 4/7x - 4
y = 4/7x - 1
your equation is y = 4/7x - 1
Answer:
[tex]y = \frac{4}{7} + 5[/tex]
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponent (& Root)
Multiplication
Division
Addition
Subtraction
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First, subtract 4x from both sides of the equation:
4x (-4x) - 7y = 9 (-4x)
-7y = -4x + 9
Next, divide -7 from both sides of the equation:
(-7y)/-7 = (-4x + 9)/-7
[tex]y = \frac{-4x}{-7} + \frac{9}{-7}[/tex]
[tex]y = \frac{4}{7}x - \frac{9}{7}[/tex]
Next, as long as your slope (4/7) is the same, you can adjust the b (-9/7 for original) to get a parallel line.
In this case, I will utilize 5
[tex]y = \frac{4}{7}x + 5[/tex]
See attached image for the result. The blue line is the adjusted parallel line, while the red line is the original line given by the question.
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Learn more about parallel lines, here: https://brainly.com/question/402319
