Question

What is the slope of a line parallel to the line whose equation is 6x-2y=32

Answer 1

The slope of the line 6x - 2y = 32 is 3, so any line parallel to it will also have a slope of 3.

Step-by-step explanation:

The slope of a line is determined by the coefficient of x in its equation when it is in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation of the line is 6x - 2y = 32. To find the slope, we need to rearrange the equation into slope-intercept form by solving for y:

6x - 2y = 32

-2y = -6x + 32

y = 3x - 16

Therefore, the slope of the line is 3. Any line parallel to this line will have the same slope of 3.

Answer 2

The slope of a line parallel to the line 6x-2y=32 is 3.

Step-by-step explanation:

To find the slope of a line parallel to the line whose equation is 6x-2y=32, we need to find the slope of the given line. To do that, we can rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. So, let's rearrange the given equation:

6x - 2y = 32

-2y = -6x + 32

y = 3x - 16

Now we can see that the slope of the given line is 3. Since lines that are parallel have the same slope, the slope of any line parallel to the given line is also 3.