Question

What would the slope of a line be that is perpendicular to the line 3x + 2y = 67

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What would the slope of a line be that is perpendicular to the line 3x + 2y = 6?


And why is it right

Answer 1

2/3

Explanation:

Answer 2

2/3

Explanation:

The slope of a line that is perpendicular to another line must be the negative reciprocal of the other line. This means that the slope is flipped (3/2 would be 2/3, or 5 would be 1/5) and that the sign is also changed. If the slope of the other line is positive, then the slope of this line would be negative, and vice-versa.

First, we try to get the variable y by itself, so subtract 3x from that side of the equation and then divide everything by 2. So, it would now be y= -3/2 + 3.

Then, you find the negative reciprocal of 'm', so -3/2 would be change to 2/3