Question

PLEASE HELP QUICK!!!

A line passes through the points (3, 9) and (0, 3). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

`y = 2x + 3`

Explanation:

Given :-

• Two points are given to us .
• The points are (3,9) and (0,3) .

And we need to find the equation in slope intercept form. So here we can find the equation of the line using two point form , as ,

`\implies y - y_1 = ( y_2-y_1)/(x_2-x_1)( x - x_1)`

• Now plug in the respective values ,

`\implies y - 9 = ( 3-9)/(0-3)( x - 3) \\\\\implies y - 9 =(-6)/(-3)( x - 3 ) \\\\\implies y - 9 = 2( x - 3 ) \\\\\implies y - 9 = 2x - 6 \\\\\implies y = 2x - 6 +9 \\\\\implies \boxed{ y = 2x + 3 }`

Hence the equation in slope intercept form is y = 2x + 3.