I am having trouble with the following question;

y+7=8x
2x-y=-7
Determine whether the lines will be parallel. My answer is yes am I correct?

Are the slopes the same? Did you solve for the slope? I don't think the slopes are equal.

For the equation of a line in the form:

y = m*x + b
m=slope
b=y intercept
The lines will be parallel if the slopes (m value) are the same.
Rearrange the equations to the above form and check for m being the same value for each.

y=mx+b

first line is
y=8x-7

second line is

y=2x-7

as m is not same ,that is slope is not same ,lines are not parrellel

ok on the first one I have m=8 and the second one the m=2 which would make them not the same.which would make them not paralel

To determine whether the two lines are parallel, we need to compare their slopes. Remember that the slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line.

Let's first put the equations in slope-intercept form:

Equation 1: y + 7 = 8x
Rearranging, we get y = 8x - 7.
Comparing this equation with the slope-intercept form, we can determine that the slope of this line is 8.

Equation 2: 2x - y = -7
Rearranging, we get y = 2x + 7.
Comparing this equation with the slope-intercept form, we can determine that the slope of this line is 2.

Now that we have the two slopes, we can compare them. If the slopes are the same, then the lines are parallel. If the slopes are different, then the lines are not parallel.

In this case, the slope of the first line is 8, and the slope of the second line is 2. Since the slopes are different, the two lines are not parallel.

Therefore, your answer is incorrect. The lines are not parallel.