anonymous
  • anonymous
What is the equation of the line passing through (0, 2) and perpendicular to the line y = 4x – 3 in slope-intercept form?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Jhannybean
  • Jhannybean
WE have the line \[\large y=\color{green}{4}x-3\] we can use the slope of this line, "4" in finding the slope of the perpendicular line.
Jhannybean
  • Jhannybean
the slope of the perpendicular line is the negative reciprocal of the slope of the original. This means that \[\large \color{red}m=4 \implies -\frac{1}{\color{red}m}\]
Jhannybean
  • Jhannybean
Does that make sense so far?..

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anonymous
  • anonymous
yes!
Jhannybean
  • Jhannybean
Awesome, so what would the slope of the perpendicular line be if you used that equation above?
anonymous
  • anonymous
-1/4?
Jhannybean
  • Jhannybean
good job!
Jhannybean
  • Jhannybean
Now that we've found the slope of the perpendicular line, we can use a point slope form \[\large y-\color{green}{y_{1}}=m(x-\color{green}{x_{1}}) \] and our point (0,2) to find the equation of the perpendicular line in slope intercept form
Jhannybean
  • Jhannybean
So we plug in our point (0,2) into the highlighted area and simplify \[\large y-\color{green}{(2)}=-\frac{1}{4}(x-\color{green}{0})\] Are you able to simplify this? :)

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