The slope and one point on a line are given use the point slope form to find the equation of that line write answer in standard form

Question

(2,3), m=2/3

Answer 1

Hi Leslie.

 

The point-slope form is just following this formula:  

y-y₁ = m(x - x₁) where m is the slope.  x₁ is the x-coordinate of your point.  y₁ is the y-coordinate of your point.

 

So start with point-slope form:

 

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

 

Now just simplify this into standard form (Ax + By = C where A,B,C are all integers and A must be positive)

 

Start by multiplying both sides by 3 to get rid of the fraction.

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

 

Now distribute

3y-9=2x-4

 

Put all variables on one side, all constants on the other.  Because the coefficient of "x" is supposed to be positive, I will put the variables on the right and the constant on the left, then switch it at the end.

 

-9+4=2x-3y

 

-5=2x-3y  or in standard form

 

2x-3y=-5