Use the following lines to answer the question.

Question

Use the following lines to answer the question.

line g: y=−45x+75
line h: y=54x+34

Is line g Perpendicular to line h? Why or why not?

A: Yes, because the slopes of lines g and h and are opposite and reciprocal.
B: Yes, because the slopes of lines g and h are opposite and the y-intercepts are different.

Answer 1

I forgot to say I think its B

Answer 2

Ohh okay that makes sense thank you for the help!

Answer 3

so whats the answer here

Answer 4

just kidding im dumb

Answer 5

To determine if line g is perpendicular to line h, we need to compare their slopes.

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope.

For line g: y = -45x + 75, the slope is -45.
For line h: y = 54x + 34, the slope is 54.

Since the slopes of lines g and h have different signs and are reciprocal values of each other (-45 and 54), we can conclude that line g is perpendicular to line h.

Therefore, the correct answer is A: Yes, because the slopes of lines g and h are opposite and reciprocal.

Answer 6

Line g is not perpendicular to line h because the slopes are not opposite reciprocals. For a line to be perpendicular to line g, it would need a slope of 1/45. It does not matter what the y intercepts are, the slopes just need to be opposite reciprocals, which they are not in this case, so it may be a trick question.