Question

Q4: Write the equation in slope-intercept form of the line that is perpendicular to

Answer 1

Answer:

5y  = x + 11

Step-by-step explanation:

Given parameters:

  Equation of the line ;

           y  = -5x + 1

  Coordinates = (2, -1)

Find the equation of a line perpendicular;

Solution:

A line perpendicular to  y  = -5x + 1  will have slope that is a negative inverse of the given one.

Equation of a straight line is expressed as;

           y  = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

        So, the slope of the new line perpendicular is $\frac{1}{5}$ ;

Now let us find the y-intercept of the new line;

   x = -1 and y = 2

      2  = $\frac{1}{5}$ x (-1) + c

           c  = 2 + $\frac{1}{5}$   = $\frac{11}{5}$  

The equation of the new line is;

          y  =  $\frac{1}{5}$x +  $\frac{11}{5}$  

or multiply through by 5;

        5y  = x + 11