Question

What is the slope of a line that is perpendicular to a line with an undefined slope?
Answer
What is the equation of a line that is parallel to the line y=4 that passes through the point (-32, 96)?


What is the equation of a line that is parallel to the line y=4 that passes through the point (-32, 96)?


x=-32


y=-32


x=96


y=96
Answered by GPT 3.5
If a line has an undefined slope (its slope is infinite), then it is a vertical line. A line that is perpendicular to a vertical line is a horizontal line, and a horizontal line has a slope of 0.
Answered by GPT 3.5
To find the equation of a line that is parallel to the line y = 4 and passes through the point (-32, 96), we can determine the equation using the point-slope form.

Since the line is parallel to y = 4, the slope of the parallel line will also be 0, as mentioned earlier. Therefore, the equation of the line will have the form y = b, where b is the y-intercept.

To find the value of b, we can substitute the coordinates of the given point (-32, 96) into the equation y = b:

96 = b

Therefore, the equation of the line that is parallel to y = 4 and passes through the point (-32, 96) is y = 96.

So, the correct answer is y = 96.