Tori examined the pattern of exponents in the table.
1 answer:
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Answer:
1. Yes, the lines are perpendicular.
2.
Step-by-step explanation:
The first equation of Exercise 1 is incomplete. Let's assume that it is:
Where "n" is a number.
First, it is important to remember that the equation of a line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
By definition, the slopes of perpendicular lines are negative reciprocals.
1 . If you solve for "y" from the first equation, you get:
You can identify that the slope is:
The second equation of the line is:
And its slope is:
Since the slopes are negative reciprocals, the lines are perpendicular.
2. Given the first equation of the line:
You can identify that:
Since the first line and the second one are perpendicular, you know that the slope of the other line is:
According to the information given in the exercise, both lines have the same y-intercept; therefore, the equation of the second line is: