use the point - slope formula to write an equation of the line that passes through (3,6) and has a slope of m=3. Write the answer in slope - intercept form.

Question

Use the point - slope formula to write an equation of the line that passes through (3,6) and has a slope of m=3. Write the answer in slope - intercept form (if possible).

Answer 1

y=mx+c this is the general equation for the line where m=slope

 

in this case m=3

 

the equation is y=3x+c

 

since the line passes through point (3,6) therefore y=6 when x=3

substitute these values in the equation to find the value of c

6=3(3)+c

6=9+c ----->c=6-9=-3

 

Therefore, the equation of the line is:

y=3x-3

Answer 2

The equation can be written using the formula

 

(Y - Y₀) = m (X - X₀)

 

  Our m = 3 and our (X_0,Y₀) are  (3,6)

 

Now we can plug it into the above formula

 

Y- 6 = 3 ( X - 3 )

 

Y = 3x - 3

 

That's your standard equation in point slope form.