what is the equation of the line (0,2),(2,5)?

Question

I need help solving the equatiion

 

What is the equaition of the  line (0,2),(2,5)?

Answer 1

Hi Clifferdean,

 

The slope of a line passing through two points (x₁ , y₁) and (x₂ , y₂) is given by the formula below. You are given the points

(0,2) and (2,5).

 

m = (y₂ -  y₁)/(x₂ -  x₁) = (5 - 2)/(2 - 0)=3/2

 

y = mx +c

y = 3/2 x+ c 

Using one of the two points to find C pick (0,2) plug it into the equation

2 = 3/2 *0 + c

2 = c

The equation becomes         y = 3x/2 + 2