Question

Find an equation of the line containing the given pair of points. (3,5) and (9,6) y- (Simplify your answer. Type your answer in slope-intercept form. Use integers or fract

Answer 1

Answer:
`y=(1)/(3)x+4`

Explanation:

The equation of a line passing through (a,b) and (c,d) is given by :_

`(y-b)=(d-b)/(c-a)(x-a)`

The given points : (3,5) and (9,6)

Then , the equation of a line passing through (3,5) and (9,6) will be :-

`y-5=(6-5)/(9-3)(x-3)\\\\\Rightarrow\ y-5=(1)/(3)(x-3)\\\\\ y=(1)/(3)x-1+5\\\\\Rightarrow\ y=(1)/(3)x+4`

Hence, the equation of the line in slope -intercept form :
`y=(1)/(3)x+4`