Write the equation of the line through the point (2,1) and parallel to the equation y=3x+4
1 answer:
Answer:
y = 3x - 5
Step-by-step explanation:
The equation is given in the form
y = 3x + 4
that is
y = mx + b
So, we can say:
m = 3
This is the slope (m).
Parallel lines have equal slopes, so we can say the line parallel will have the equation:
y = 3x + b
We are given that it passes through (2,1), so we plug in respective values of x and y and solve for b:
y = 3x + b
1 = 3(2) + b
1 = 6 + b
b = 1 - 6
b = -5
So, the equation is:
y = 3x - 5
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Answer:
y = (-4/5)x + 12/5
Step-by-step explanation:
Slope = (4-0)/(-2-3) = 4/-5 = -4/5
y = (-4/5)x + c
When x = 3, y = 0
0 = (-4/5)(3) + c
c = 12/5
y = (-4/5)x + 12/5
5y = -x + 12
5y + x = 12
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Answer:
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Step-by-step explanation:
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