The lines graphed below are perpendicular. The slop of the red line is -1/3. What is the slope of the green line

Option C. 3

Step-by-step explanation:

Let M1 be the slope of the red line

Let M2 be the slope of the green line

From the question:

Slope of red line (M1) = – 1/3

Slope of green line (M2) =.?

The slopes of perpendicular lines are related as follow:

M1 = –1 / M2

With the above formula, the slope of the green line (M2) can be obtained as illustrated below:

Slope of red line (M1) = – 1/3

Slope of green line (M2) =.?

M1 = –1 / M2

– 1/3 = –1 / M2

Cross multiply

– 1 × M2 = – 1 × 3

– 1 × M2 = – 3

Divide both side by –1

M2 = – 3/ –1

M2= 3

Therefore, the slope of the green line is 3.

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