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Find the equation of the straight line passing through the point (0,2) which is perpendicular to the line :
y= 1/4x + 5

Respuesta :

altavistard

Important fact:  The slopes of perpendicular lines are negative reciprocals of one another.  Thus, if the given line here has the slope 1/4, the slope of any line perpendicular to it will be -4 (the negative reciprocal of 1/4).

(0,2) is the y intercept of the new line.

Thus, the new line's equation is y = mx + b, or y = -4x + 2.

vijayhalder031

The equation of the straight line passing through the point (0,2) which is perpendicular to the line y= 1/4x + 5 will be 4x-y+2=0

Equation of line

  • The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system
  • The equation of a line is any equation that conveys information about a line's slope and at least one point that lies on it

How to solve this problem?

The steps are as follow:

  • Slope of y=1/4x+5 is 1/4
  • Since product of the slopes of perpendicular lines is -1.
  • Equation of the line in slope and point form is as follow:

y-y1 =m(x-x1)

so equation will be

y-2=-4(x-0)

y-2=4x

So, the equation of the straight line passing through the point (0,2) which is perpendicular to the line y= 1/4x + 5 will be 4x-y+2=0

Learn more about Equation of line here:

https://brainly.com/question/13763238

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