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

you need to show the graph

step-by-step explanation:

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