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Question 224221: Write the slope intercept form of the equation of the line through the given point with the given slope.
through: (-2,5), slope=-4
Found 2 solutions by drj, rfer:
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 through the given point with the given slope.
through: (-2,5), slope=-4
The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point(0,b).
Step 1. The slope m is given as
Step 2. Let (x1,y1)=(-2,5) or x1=2 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+2 to both sides to get rid of denominator on right side of equation.
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. -3/4 = -0.75.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -3/1 = -3.
- Slope is -4/1 = -4.
- Equation in slope-intercept form: y=-4*x+-3.
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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
Answer by rfer(16322)  (Show Source):
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