How to write an equation of a line with slope of 3 and contains the point (4, 9)?

Bentley Floyd

Bentley Floyd

Answered question

2023-03-09

How to write an equation of a line with slope of 3 and contains the point (4, 9)?

Answer & Explanation

angel52594672ve

angel52594672ve

Beginner2023-03-10Added 3 answers

the equation of a line in slope-intercept form is.
x y = m x + b
where m is the slope and b the y-intercept
here m = 3
y = 3 x + b is the partial equation
to find b substitute ( 4 , 9 ) into the partial equation
9 = 12 + b b = 9 - 12 = - 3
y = 3 x - 3 is the equation of the line
polemann7tm

polemann7tm

Beginner2023-03-11Added 4 answers

The equation of a line in point-slope form is as follows:
y - y 1 = m ( x - x 1 )
Make the following substitutions:
x 1 = 4 (the x-coordinate of the point)
y 1 = 9 (the y-coordinate of the same point)
m = 3 (the slope of the line)
You will then have:
y - 9 = 3 ( x - 4 )
Then simplify:
y - 9 = 3 ( x - 4 )
y - 9 = 3 x - 12
y = 3 x - 3

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?