SOLUTION: Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope. Point (3,5) Slope m=3/5 y=?

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Question 218678: Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope.
Point (3,5) Slope m=3/5
y=?
Found 2 solutions by drj, MathTherapy:
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope.

Point (3,5) Slope m=3/5

Step 1. The slope m is given as



Step 2. Let (x1,y1)=(3,5) or x1=3 and y1=5 . 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-3) to both sides to get rid of denominators





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. 16/3 = 5.33333333333333.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 16/-5 = -3.2.
  • Slope is -3/-5 = 0.6.
  • Equation in slope-intercept form: y=0.6*x+-3.2.




I hope the above steps 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 MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope.
Point (3,5) Slope m=3/5
y=?

Since we have the slope, or m of and point (3, 5), we use the point-slope form to get the equation in slope-intercept form.

----- Point-slope form

----- Substituting slope and point (3, 5)into equation

------

----- Adding 5, or to each side of equation

Therefore, we have:
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