Determine an equation that represents a graphed line

Question

Which equation represents the graph line with the coordinate points (-6,-8) (6,-4) in point slope form.

Answer 1

Hi Chris,

 

  Which equation represents the graph line with the coordinate points (-6,-8) (6,-4) in point slope form.

 

 

Point slope for of a linear equation is:   y-y₁=m(x-x₁)

 

Where (x₁,y₁) is a point on the line and m is the slope of the line.

 

Substitute in one of the points

I am using (6,-4).

 

y-(-4)=m(x-9)

y+4=m(x-9)

 

Now calculate the slope, m.

 

(-6,-8) (6,-4)

 

 

-4-(-8)

--------=

6-(-6)

 

4

--

12

 

reduce the fraction by dividing both the numerator and denominator by 4

 

1

-- =m

3

 

Substitute value into our equation

 

y+4=m(x-9)

y+4=(1/3)(x-9)

 

ANSWER: Point slope form is y+4=(1/3)(x-9)