Question

Write the equation of the line perpendicular to 4x+y=3 that passes through (-4,-6). Write your answer in slope-intercept form. Show your work.

Answer 1

y = 1/4x - 5

Explanation:

A perpendicular line is the opposite reciprocal of the original line.

• First, change 4x + y = 3 to slope intercept form, y = mx + b
• y = -4x + 3
• Slope in original line is -4
• The slope of s perpendicular line is
• 
  `(1)/(4)`
• Using point slope form y - y1 = m(x - x1)
• Add your points (-4,-6)
• y - (-6) = 1/4(x -(-4))
• y + 6 = 1/4x + 1
• y = 1/4x - 5