SOLUTION: Write the slope intercept form of the equation for the line with y-intercept 5 and x-intercept 4

Algebra ->  Linear-equations -> SOLUTION: Write the slope intercept form of the equation for the line with y-intercept 5 and x-intercept 4      Log On


   

Question 217057: Write the slope intercept form of the equation for the line with y-intercept 5 and x-intercept 4
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Write the slope intercept form of the equation for the line with y-intercept 5 and x-intercept 4.

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

Step 2. Given y-intercept b=5, means x=0. Substitute into the equation in slope intercept form, 5=m*x+b or b=5.

Step 3. Now we need to find the slope. So the x-intercept is 4 or x=4 and y=0 as given. Then substitute in the equation yields y=0=m*4+5 since we found b=5 in step 2. Finding the slope b yields the following steps.

0=4m%2B5

Subtract 5 from both sides

0-5=4m-5

-5=4m

Divide by 4 to both sides of the equation

-5%2F4=4m%2F4

-5%2F4=m

Step 4. ANSWER: y=-5x%2F4%2B5 where the slope m is -5%2F4 and the y-intercept b=5.

Using the x-intercept point (4,0) and y-intercept point (0,5), we have the following graph:


graph%28400%2C+400%2C-10%2C10%2C-10%2C10%2C+-5x%2F4%2B5%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