Question 212517: need help with finding the equation of the line wich contains the point (0,1) and has the slope 1 ?
Answer by drj(1380)   (Show Source):
You can put this solution on YOUR website! Need help with finding the equation of the line which contains the point (0,1) and has the slope 1 ?
Step 1. The slope m is given as
Step 2. Let (x1,y1)=(0,1) or x1=0 and y1=1 . 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 to both sides to get rid of denominator on right side of equation.
Step 5. Now add 1 to both side of equation.
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. -1/1 = -1.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -1/-1 = 1.
- Slope is -1/-1 = 1.
- Equation in slope-intercept form: y=1*x+1.
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I hope the above steps were helpful. Good luck in your studies!
Respectfully,
Dr J
For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.
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