The equation of the line that goes through the point ( 3 , 4 ) and is parallel to the line 3 x + 4 y = 2 can be written in the f orm y = m x + b
1 answer:
Answer:
y = -3/4x + 7/4
Step-by-step explanation:
For it to be parallel it needs the same slope. We can find this by putting the equation 3x + 4y = 2 into y = mx + b form and using the m.
3x+4y=2 can be written as y= -3/4x + 1/2
so the m for our new equation is -3/4
now to find b we just plug in the given point
y = -3/4x + b
4 = -3/4(3) + b
b = 4 + (-9/4)
b = 7/4 or b = 1.75
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Start with
Expand both parentheses by multiplying both terms by the number outside:
Sum like terms:
Simplify the "+3" on both sides:
Subtract 2x from both sides:
Divide both sides by 2:
