Find the equation of the line through the given points.

Question

(1, 10) and (3, 24)

Answer 1

slope = (24-10)/(3-1) = 7

 

Equation of line:  y = 7x + b

 

Since (1,10) lies on the line, 10 = 7(1) + b

 

                                            b = 3

 

So, y = 7x + 3

 

Answer 2

(1, 10) and (3, 24)

 

slope of line = (24 - 10) /3-1 = 14/2 =7

 

point slope form of equation is

 

y-y1 = m(x-x1)

 

y-10 =7(x -1)

 

y-10 =7x -7   ..........point slope form

 

7x -y =-3   ..........standard form