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PLEASE HELP ME I AM ON A TEST . WILL MARK BRAINLIEST



Use the equation and given point to answer the questions below.

The equation of line a is y=12x−1, and it passes through point (6,2).
Line b is perpendicular to line a, and it passes through point (−6,2).
A: What is the slope of line b?
B: What is the y-intercept of line b?
Select two answers: one for A and one for B.

B: 14
B: 1
A: 1/2
A: −2
A: −1/2
B: 5
A: 2
B: -1

Respuesta :

frika

Answer:

A. -2

B. -10

Step-by-step explanation:

Given the equation of the line

[tex]y=\dfrac{1}{2}x-1[/tex]

Its slope is [tex]\frac{1}{2}.[/tex]

A. Perpendicular line has the slope m, for which

[tex]\dfrac{1}{2}\cdot m=-1\Rightarrow m=-2[/tex]

B. The equation of the perpendicular line will be in the form

[tex]y=-2x+b[/tex]

This line passes through the point (-6,2), substitute its coordinates into the equation:

[tex]2=-2\cdot (-6)+b\\ \\2=12+b\\ \\b=2-12\\ \\b=-10[/tex]

So, y-intecept is -10.

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