1) What is the slope of a line that is parallel to y = 2?

2) What is the slope of a line that is perpendicular to y = 2?
3) What is the slope of a line that is parallel to x = -4?
4) What is the slope of a line that is perpendicular to x = -4?

I don't get any of these problems! AT ALL :/ I only know how to find the slope if the equation is in slope intercept form. Someone please help!

Give me the correct answers but also tell me how you got them so I can learn.

A line that is parallel to y = 2 has a slope of 0.

A line perpendicular to y = 2 has a slope of infinity (or undefined).

A line parallel to x = -4 has a slope of infinity (or undefined).

A line perpendicular to x = -4 has a slope of 0.

By slope intercept form I assume you mean y = mx + c.

The first equation is y = 2. It's already in slope intercept form, just simplified.

Think of it as y = 0x + 2. Now it's easier to see that the slope of such a line is 0 and the intercept is +2. This line is a horizontal line that intercepts at (0,2).

A line perpendicular to that would therefore have a slope of infinity, or an undefined slope since it's a vertical line.

The second equation is x = -4. That means that there can be no other x value anywhere on this line than -4. It's a vertical line that only crosses the x axis. Vertical = undefined slope.

To find the slope of a line, we need to understand the relationship between the equation of the line and the concept of slope. The slope of a line measures its steepness or incline and can be determined using different methods depending on the given equation.

1) What is the slope of a line that is parallel to y = 2?
In this equation, y = 2, the slope is not explicitly stated. However, we can notice that the equation represents a horizontal line since y is constant (2 in this case). Horizontal lines have a slope of 0. Therefore, any line that is parallel to y = 2 will also have a slope of 0.

2) What is the slope of a line that is perpendicular to y = 2?
Since y = 2 is a horizontal line with a slope of 0, any line that is perpendicular to it will be a vertical line. Vertical lines have an undefined slope, denoted as ∞ or "no slope".

3) What is the slope of a line that is parallel to x = -4?
Here, the equation x = -4 represents a vertical line, where x is constant (-4 in this case). Vertical lines have an undefined slope. Therefore, any line parallel to x = -4 will also have an undefined slope.

4) What is the slope of a line that is perpendicular to x = -4?
Since x = -4 is a vertical line with an undefined slope, any line perpendicular to it will be a horizontal line. Horizontal lines have a slope of 0.

To generalize, for any horizontal line, the slope is 0, and for any vertical line, the slope is undefined since the concept of "rise over run" does not apply.

Remember that slope-intercept form (y = mx + b) is commonly used to find the slope, but it is not the only method.