(1,-3) , y=1/2 +4

Question

Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the graph of each equation. 

Answer 1

L1 :

Y = 1/2 X +4

 

 

  L2:

 

    Perpendicular to L1:  m = -2 , passes through  (1, -3

    L2 :  Y = -2x + b

 

 

            -3 = -2(1) + b

              b = - 3 + 2 = -1

 

              Y = -2x -1

Answer 2

Hi Gabby;

(1,-3) , y=1/2x +4

The equation is in slope-intercept format of...

y=mx+b

m is the slope.

b is the y-intercept, the value of y when x=0.

m=1/2

The slope of the line perpendicular to this is the negative inverse of the slope...

m=-2

The point-slope formula is...

y-y₁=m(x-x₁)

This will expand into slope-intercept format...

Let's input the point provided of (1,-3)...

y--3=-2(x-1)

Subtracting a negative number is the same as adding a positive number...

A negative number multiplied by a negative number has a positive result...

y+3=-2x+2

Let's subtract 3 from both sides...

y+3-3=-2x+2-3

y=-2x-1