SOLUTION: Consider the following. Point Slope (5, 2) m = -2 Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slop

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Consider the following. Point Slope (5, 2) m = -2 Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slop      Log On


   

Question 217334: Consider the following.
Point Slope
(5, 2) m = -2
Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Point Slope
(5, 2) m = -2
Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope.

Step 1. The slope intercept form is given at y=mx+b where m is the slope and b is the y-intercept when x=0 and at point (0,b).

Step 2. Given m=-2, then y=-2x%2Bb. But the point (5,2) or x=5 and y=2 must lie on the line. So we can use it to find the y-intercept b.

y=-2x%2Bb

2=-2%2A5%2Bb

2=-10%2Bb

Add 10 to both sides of the equation to get b.

2%2B10=-10%2Bb%2B10

12=b

Step 3. ANSWER: y=-2x%2B12

The graph of the line in Step 3 is shown below. Note the y-intercept b=12 at x=0 and the line passes through (5,2). Slope m=-2 such that one unit to the left is two units down.

graph%28600%2C600%2C+-15%2C15%2C+-15%2C15%2C+-2x%2B12%29

I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra,
please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and
for Trigonometry please visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at
john@e-liteworks.com for your future math needs.

Respectfully,
Dr J