Question

Which equation represents a line that is parallel to the line whose equation is y = -3x - 7?

y = 3x + 4

y = -3x + 7

y= (1/3x) + 1

y = (-1/3x) + 2

Answer 1

Answer:

The line that would be parallel is y = -3x + 7

Step-by-step explanation:

Parallel lines have the same slope. Since the first line has a slope of -3, we need the next line to have that same slope.

Answer 2

The equation that represents a line that is parallel to the line whose equation is y = -3x - 7 is given by y = -3x + 7 and this can be determined by using the slope-intercept form.

Given :

Equation --   (y = -3x - 7)

The following steps can be used to determine the line parallel to the given line (y = -3x - 7):

Step 1 - If a line is parallel to another line then their slopes are equal.

$\rm m_1 = m_2$

Step 2 - Now, determine the slope of the given line by comparing it with the slope-intercept form. The slope-intercept form is given by the equation:

y = mx + c

Step 3 - So, by comparing the given line with the slope-intercept form the slope of the equation is:

m = -3

c = -7

Step 4 - Now, check the options given.

So, the correct option that shows the line parallel to the line (y = -3x - 7) is B).

For more information, refer to the link given below:

https://brainly.com/question/11824567