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PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS ANSWER THESE QUESTIONS, PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE

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1. What is the equation for a line in slope-intercept form that is perpendicular to y= 1/4x-5

2. Write the equation of the line in slope-intercept form that goes through (3,8) and is parallel to y=-3x+1.

1 Answer

3 votes

Answer:

  • 1) y = - 4x + b;
  • 2) y = - 3x + 17.

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Question 1

Given line:

  • y = 1/4x - 5

We know that perpendicular lines have opposite-reciprocal slopes.

Perpendicular line to the given has a slope of m = - 1 / (1/4) = - 4.

Let the y-intercept be b, then the line is:

  • y = - 4x + b

Question 2

Given line:

  • y = - 3x + 1

We know parallel lines have equal slopes.

The parallel line to the given has a slope of m = - 3 and passes through point (3, 8).

Set the point-slope equation:

  • y - 8 = - 3(x - 3)

Convert this into slope-intercept form:

  • y - 8 = - 3x + 9
  • y = - 3x + 9 + 8
  • y = - 3x + 17
User Jeffrey Klardie
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