Parrallel to the line 4x+3y=3; containing the points (6,0)

a)3x-4y=-24
b)4x+3y=24
c)4x+3y=18
d)3x-4y=18

show all work

If a line's parallel, it has the same slope. Does that help?

thanks it helped a little

If you put in the point (6,0), there is only one answer that will work. Problem should have been harder than that.

27 sq.5 over 3sq.5

To determine the line that is parallel to the given line and passes through the point (6,0), we need to find the slope of the given line and then use it to find the equation of the parallel line.

Step 1: Find the slope of the given line.
The given line is in the form of Ax + By = C, where A, B, and C are constants. To find the slope, we can rearrange the equation in the slope-intercept form (y = mx + b), where m represents the slope.
Given line: 4x + 3y = 3
Rearranging, we get:
3y = -4x + 3
y = (-4/3)x + 1
Comparing this equation with y = mx + b, we can see that the slope (m) of the given line is -4/3.

Step 2: Use the slope to find the equation of the parallel line.
We know that parallel lines have the same slope. Using the point-slope form of a line, we can write the equation of the parallel line as:
y - y1 = m(x - x1), where (x1, y1) is the given point (6,0) and m is the slope of the given line.

Substituting the values, we get:
y - 0 = (-4/3)(x - 6)
y = (-4/3)x + (8/3)

The equation of the line parallel to 4x + 3y = 3 and passing through the point (6,0) is y = (-4/3)x + (8/3).

Now, let's check which answer option matches our result.

a) 3x - 4y = -24
Rearranging this equation, we get:
4y = 3x + 24
y = (3/4)x + 6
This equation does not match our result, so option a) is not correct.

b) 4x + 3y = 24
This equation is the same as the given equation, so option b) is not correct.

c) 4x + 3y = 18
Rearranging this equation, we get:
3y = -4x + 18
y = (-4/3)x + 6
This equation does not match our result, so option c) is not correct.

d) 3x - 4y = 18
Rearranging this equation, we get:
-4y = -3x + 18
y = (3/4)x - (9/2)
This equation does not match our result, so option d) is not correct.

Therefore, the correct answer is option c) 4x + 3y = 18.