finding the equation

Question

a line passes through point (3,7) the slope is -4 what is the equation

Answer 1

Hi,

 

To find the equation of a linear line, you could use the formula

y - y₁ = m (x - x₁), 

where (x₁,y₁) is a point on the line and m is the gradient of the line.

 

For this question, the point is (3, 7) and the gradient is -4.

 

So,

y - 7 = -4(x-3)

 

Simplifying this, you will get:

 

y = -4x +19

 

Hope this helps.

 

Answer 2

 Line Equation in General:

 

      Y = mx + b

 

     For this problem:

 

      Y = -4X + b

 

       Passes through ( 3,7)

 

      7 = -4 (3) +b

 

        b = 7 +12 = 19

 

        Y = -4X + 19