SOLUTION: find the slope intercept equation of the line that has the given characteristics slope 4 and y intercept (0,3) slope intercept equation is y=

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Question 224990: find the slope intercept equation of the line that has the given characteristics
slope 4 and y intercept (0,3)
slope intercept equation is y=
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope intercept equation of the line that has the given characteristics

slope 4 and y intercept (0,3)

slope intercept equation is y=4x+3

Step 1. The equation in 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).
In your example we compare y=mx+b such that m=4 and b=3. Therefore, y=4x+3.

Step 2. Here's another way...now we have to find the line with slope m=4 going through point (0,3).

Step 3. Given two points (x1,y1) and (x2,y2), then the slope m is given as

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

Step 4. Let (x1,y1)=(0,3) or x1=0 and y1=3. Let other point be (x2,y2)=(x,y) or x2=x and y2=y.

Step 5. Now we're given m=4. Substituting above values and variables in the slope equation m yields the following steps:

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

4=%28y-3%29%2F%28x-0%29%29

4=%28y-3%29%2Fx

Step 6. Multiply x to both sides to get rid of denominator on right side of equation.

4x=y-3

4x=y-3

Step 7. Add 3 to both sides of the equation

4x%2B3=y-3%2B3

4x%2B3=y same as in Step 1.

Step 7. ANSWER: The equation in slope-intercept form is y=4x%2B3 where the slope m=7 and the y-intercept b=-5.

Note: the above equation can be rewritten in standard form as

-7x%2By=-5

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 -7+x+%2B+1+y+=+-5 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--7%2F1.
  • 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