SOLUTION: write an equation in slope-intercept form for the line that satisfies the following condition. slope 3 and passes through (4,20)

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Question 218774: write an equation in slope-intercept form for the line that satisfies the following condition. slope 3 and passes through (4,20)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation in slope-intercept form for the line that satisfies the following condition. Slope m=3 and passes through (4,20)

Step 1. The slope m is given as

m=%28y2-y1%29%2F%28x2-x1%29

Step 2. Let (x1,y1)=(4,20) or x1=4 and y1=20. Let other point be ((x2,y2)=(x,y) or x2=x and y2=y.

Step 3. Now we're given m=3. Substituting above values and variables in the slope equation m yields the following steps:

m=%28y2-y1%29%2F%28x2-x1%29

3=%28y-20%29%2F%28x-4%29

Step 4. Multiply x-4 to both sides to get rid of denominator on right side of equation.

3%28x-4%29=y-20

3x-12=y-20

Step 5. Now add 20 to both sides of equation to solve for y.

3x-12%2B20=y-20%2B20

3x%2B8=y

Step 6. ANSWER: 3x%2B8=y

Note: the above equation can be rewritten as
3x-y=-8
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 3+x+%2B+-1+y+=+-8 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F-1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -8/3 = -2.66666666666667.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -8/-1 = 8.
  • Slope is -3/-1 = 3.
  • Equation in slope-intercept form: y=3*x+8.




I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J

http://www.FreedomUniversity.TV