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: $y=\dfrac{1}{3}x+4$

Step-by-step explanation:

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

$(y-b)=\dfrac{d-b}{c-a}(x-a)$

The given points :  (3,5) and (9,6)

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

$y-5=\dfrac{6-5}{9-3}(x-3)\\\\\Rightarrow\ y-5=\dfrac{1}{3}(x-3)\\\\\ y=\dfrac{1}{3}x-1+5\\\\\Rightarrow\ y=\dfrac{1}{3}x+4$

Hence, the equation of the line in slope -intercept form :  $y=\dfrac{1}{3}x+4$