Question

What is the equation of a line that passes through the points (3, 6) and (8, 4)?

Answer 1

To solve this problem you find the slope of the equation and then use that to plug in a given point to find b:

y=-2/5x+7.2

Answer 2

Answer:

$y=-\frac{2}{5} x+\frac{36}{5}$

Step-by-step explanation:

→ Find the gradient

$\frac{4-6}{8-3}= \frac{-2}{5} =-\frac{2}{5}$

→ Write into y = mx + c format

$y=-\frac{2}{5} x+c$

→ Substitute in ( 3 , 6 )

$6 = -\frac{6}{5} +c$  ∴ $c = 6+\frac{6}{5} =\frac{36}{5}$

→ Rewrite into y = mx + c format

$y=-\frac{2}{5} x+\frac{36}{5}$