Question 218678: Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope.
Point (3,5) Slope m=3/5
y=?
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380)   (Show Source):
You can put this solution on YOUR website! Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope.
Point (3,5) Slope m=3/5
Step 1. The slope m is given as
Step 2. Let (x1,y1)=(3,5) or x1=3 and y1=5 . Let other point be (x2,y2)=(x,y) or x2=x and y2=y.
Step 3. Now we're given  . Substituting above values and variables in the slope equation m yields the following steps:
Step 4. Multiply (x-3) to both sides to get rid of denominators
Step 5. Now add 5 to both sides of equation to solve for y.
Note: the above equation can be rewritten as
And the graph is shown below which is consistent with the above steps.
| Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc |
Equation  describes a sloping line. For any
equation ax+by+c = 0, slope is  .- X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 16/3 = 5.33333333333333.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 16/-5 = -3.2.
- Slope is -3/-5 = 0.6.
- Equation in slope-intercept form: y=0.6*x+-3.2.
|
I hope the above steps were helpful.
For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.
And good luck in your studies!
Respectfully,
Dr J
http://www.FreedomUniversity.TV
Answer by MathTherapy(10552)  (Show Source):
|
|
|
