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Question 224555: Write the slope intercept form of the equation of the line described.
through:(4,-4), parallel to y=-x-4
Answer by drj(1380)   (Show Source):
You can put this solution on YOUR website! Write the slope intercept form of the equation of the line described.
through:(4,-4), parallel to y=-x-4
Step 1. We can find the slope by recognizing that parallel lines have the same slope. Since  is in slope-intercept form given as y=mx+b where the slope m=-1 and the y-intercept b=-4 when x=0 or at point (0,b) or (0,-4).
Step 2. Now we have to find the line with slope m=-1 going through point (4,-4).
Step 3. Given two points (x1,y1) and (x2,y2), then the slope m is given as
Step 4. Let (x1,y1)=(4,-4) or x1=4 and y1=-4. Let other point be (x2,y2)=(x,y) or x2=x and y2=y.
Step 5. Now we're given  . Substituting above values and variables in the slope equation m yields the following steps:
Step 6. Multiply x-4 to both sides to get rid of denominator on right side of equation.
Step 7 Subtract 4 from both sides of the equation
Step 8. ANSWER: The equation in slope-intercept form is 
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. 0/1 = 0.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 0/1 = 0.
- Slope is -1/1 = -1.
- Equation in slope-intercept form: y=-1*x+0.
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I hope the above steps and explanation 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
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