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timama [110]
2 years ago
13

Write an equation for the line that has a y-intercept of 2 and is perpendicular to the line 3x + y = 6.

Mathematics
1 answer:
sleet_krkn [62]2 years ago
4 0

Answer:

The equation of the line would be y = 1/3x + 2

Step-by-step explanation:

To find this, we must first solve the original equation for y.

3x + y = 6

y = -3x + 6

This means the original slope is -3. Since the original slope is -3, we know that the perpendicular slope is 1/3. This is because perpendicular slopes are opposite and reciprocal.

Now we use the slope and the intercept in slope-intercept form to get the equation.

y = mx + b

y = 1/3x + 2

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