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Consider the line y=5x-4

What is the slope of a line perpendicular to this line?

What is the slope of a line parallel to this line?

User Yetiish
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1 Answer

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Answer:

slope of perpendicular line= -⅕

slope of parallel line= 5

Explanation:

y= 5x -4

The equation is in the slope-intercept form, thus the slope is the coefficient of x.

Slope of given equation= 5

The product of the slopes of perpendicular lines is -1.

Let the slope of the perpendicular line be m.

m(5)= -1


m = - (1)/(5)

Thus, the slope of the perpendicular line is -⅕.

Parallel lines have the same gradient.

Slope of parallel line= 5

What is slope-intercept form?

  • y= mx +c, where m is the slope and c is the y-intercept
  • In this form, the coefficient of y is 1, while all the other terms and constant is on the right hand side of the equation
User Savpek
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