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13 years ago

"write the equation of a line in slope-intercept form that contains (3 over 4, 1 over 2) and has the same slope as the line described by y+3x=36"
do this problem and also explain how you got the answer
thank you

Top 1 Answers

13 years ago

Favorite Answer
y + 3x = 36
Subtract 3x from both sides.
y = 36 - 3x
The number in front of the x is the slope: -3.
You need to have a line that contains the point (x1,y1) = (3/4, 1/2).
Set up the equation like this, in point-slope form:
(m is the slope)
y - y1 = m (x - x1)
So
(y - 1/2) = -3(x - 3/4)
distribute the -3 to x and to -3/4:
y - 1/2 = -3x + 9/4
add 1/2 to both sides
y = -3x + 9/4 + 1/2
y = -3x + 9/4 + 2/4
answer:
y = -3x + 11/4

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