Which of the following lines is not parallel to the graph of y= 3x + 9 a.
3x - y = 10
c.
3y - x = 10
b.
y - 3x=11
d.
6x - 2y = 10

Please select the best answer from the choices provided

c. 3y - x = 10

Step-by-step explanation:

The slope-intercept form of a line

The equation of the line in the slope-intercept form is:

y = mx + b

Here, m the slope and b the y-intercept.

To compare the slope of different lines, we should write them in the above form and compare their values of m.

The given line is:

y = 3x + 9

The slope of this line is m=3

Any parallel line must have the very same value of m.

None of the following options can be directly compared because they are not in the slope-intercept form, so they must be converted.

a. 3x - y = 10

Solving for y:

- y = 10 -3x

y = 3x - 10

The slope of this line is m=3, thus this line is parallel to the given line

c. 3y - x = 10

Solving for y:

3y = x + 10

y = 1/3 x - 10

The slope of this line is m=1/3, thus this line is NOT parallel to the given line

b. y - 3x = 11

Solving for y:

y = 3x + 11

The slope of this line is m=3, thus this line is parallel to the given line

d. 6x - 2y = 10

Solving for y:

- 2y = -6x + 10

Dividing by -2:

y = 3x - 5

The slope of this line is m=3, thus this line is parallel to the given line

c. 3y - x = 10

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation: