find the equation of the function from

Question

(-2,5) and (1,4)

 

y² - y¹ = m(x₂ -x₁)

Answer 1

Hi Victor,

 

     find the equation of the function from
(-2,5) and (1,4)

               y - y¹ = m(x -x¹)

 

To find the slope m,   y²-y¹/(x²-x¹)

 

Let (-2,5)=(x¹,y¹)   and (1,4)=(x²,y²), then substitute into formula.

 

m= 4-5/1-(-2)

  = -1/3

 

Then the equation in point slope formula is:    y - y¹ = m(x -x¹)

                                                                  y - y¹ = -1/3(x -x¹)

substitute in a point                                     y - 5 = -1/3(x - -2)

                                                                  y - 5 = -1/3(x + 2)  this is point-slope form

 

 

 

if you were asked to find the slope in slope-intercept form (y=mx+b), the equation would be:

 

                                                                y - 5 = -1/3(x + 2)
                                                                 y - 5 = -1x/3 -2/3

adding 5 to both sides                                      y= -1x/3+13/3

 

Hope this helps you understand the process.