Question

Line A: y = 1/2x+2

Answer 1

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

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