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vredina [299]
3 years ago
9

Line A: y = 1/2x+2

Mathematics
1 answer:
hammer [34]3 years ago
7 0

Lines B and C are perpendicular ⇒ answer C

Step-by-step explanation:

The product of the slopes of the perpendicular line is -1

The slopes of the parallel lines are equal

The slopes of two lines are m_{1} and m_{2}

1. If m_{1} × m_{2} = -1, then the two lines are perpendicular

2. If m_{1} = m_{2} , the the two lines are parallel

The equation of a line in slope-intercept form is y = m x + c, where m is

the slope of the line

Line A: y = \frac{1}{2} x + 2

The slope of the line is m_{A} = \frac{1}{2}

Line B: y = -\frac{1}{2} x + 7

The slope of the line is m_{B} = -\frac{1}{2}

Line C: y = 2 x + 4

The slope of the line is m_{C} = 2

Line D: \frac{1}{2} x + \frac{5}{4}

The slope of the line is m_{D} = \frac{1}{2}

∵ m_{B} = -\frac{1}{2}

∵ m_{C} = 2

∵ -\frac{1}{2} × 2 = -1

∴ Line B and Line C are perpendicular because the product of their

   slopes is -1

Lines B and C are perpendicular

Learn more:

You can learn more about slope in brainly.com/question/4152194

#LearnwithBrainly

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