MATH SOLVE

4 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.

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.