SOLUTION: Write the slope intercept form of the equation of the line through the given point with the given slope. through: (1,2), slope=7

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Question 224218: Write the slope intercept form of the equation of the line through the given point with the given slope.
through: (1,2), slope=7
Found 2 solutions by rfer, drj:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
Are they starting to make since to you?
y=mx+b
y=7x-5
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: (1,2), slope=7

Step 1. 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 2. The slope m is given as



Step 3. Let (x1,y1)=(1,2) or x1=1 and y1=2 . Let other point be (x2,y2)=(x,y) or x2=x and y2=y.

Step 4. Now we're given the slope . Substituting above values and variables in the slope equation m yields the following steps:





Step 5. Multiply x-1 to both sides to get rid of denominator on right side of equation.





Step 6. Now add 2 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. 5/7 = 0.714285714285714.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 5/-1 = -5.
  • Slope is -7/-1 = 7.
  • Equation in slope-intercept form: y=7*x+-5.




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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