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Which is the equation in slope-intercept form for the line that passes through (3,3) and is parallel...
5 months ago
Q:
Which is the equation in slope-intercept form for the line that passes through (3,3) and is parallel to x + 3y = 4?
Accepted Solution
A:
Hi there! The first answer is correct.
Let's first set up the equation in general form
ax + by = c
The line is parallel to x + 3y = 4, and therefore the formula is x + 3y = c.
The line passes through the point (3, 3) so we can plug in those values into the formula.
3 + 3 Γ 3 = c
3 + 9 = c
12 = c
c = 12
Now we have found the equation of our formula:
x + 3y = 12
Rewrite the formula.
First subtract x from both sides.
3y = -x + 12
Divide both sides by 3.
y = -1/3x + 4
Therefore, the first answer is correct.