Question

Find the equation of the line, where P is a point on the graph of the line. m=2/3 , P(3,5)

Answer 1

Answer:

The answer is

$y = \frac{2}{3} x + 3$

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To write an equation of a line given a point and slope we have

y - y1 = m( x - x1)

where (x1 , y1 ) is the point and m is the slope

Equation of the line using point P(3 , 5) and m = 2/3 is

$y - 5 = \frac{2}{3} (x - 3)$

$y - 5 = \frac{2}{3} x - 2$

$y = \frac{2}{3} x + 5 - 2$

We have the final answer as

$y = \frac{2}{3} x + 3$

Hope this helps you