amelia2738 amelia2738
  • 22-08-2022
  • Mathematics
contestada

Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y=4x.

Write an equation for line L in pointslope form and slopeintercept form L is perpendicular to y4x class=

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Medunno13
Medunno13 Medunno13
  • 22-08-2022

Answer:

[tex]y-4=-\frac{1}{4}(x-1)[/tex]

[tex]y=-\frac{1}{4}x+\frac{17}{4}[/tex]

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals, so the slope of L is -1/4.

Substituting into point-slope form yields

[tex]y-4=-\frac{1}{4}(x-1)[/tex]

Isolating y, the slope-intercept form is

[tex]y-4=-\frac{1}{4}x+\frac{1}{4} \\ \\ y=-\frac{1}{4}x+\frac{17}{4}[/tex]

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