Question

I need help with my math please

Answer 1

`\textsf{B.} \quad y=3x+2`

Explanation:

If two lines are perpendicular to each other, their slopes are negative reciprocals.

The negative reciprocal of a number is -1 divided by the number.

Given equation:

`y=-(1)/(3)x+4`

The slope of the given equation is -¹/₃

Therefore, the slope of the perpendicular line is:

`\implies -1 / -(1)/(3)=-1 * -3=3`

Therefore, the equation of the line that is perpendicular to the given equation is:

• 
  `\textsf{B.} \quad y=3x+2`

Answer 2

• B) y = 3x + 2

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Perpendicular lines have opposite-reciprocal slopes.

Given line has a slope of - 1/3, so the perpendicular slope is 3.

The matching choice is B.