SOLUTION: use point slope formula to write an equation of the line given the following information. write answer in slope intercept form slope -3/4 line passes through point (5,0) simpl

Question 212891: use point slope formula to write an equation of the line given the following information. write answer in slope intercept form
slope -3/4 line passes through point (5,0)
simplify fraction answers
Found 2 solutions by drj, jojo14344:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Use point slope formula to write an equation of the line given the following information. Write answer in slope intercept form slope -3/4 line passes through point (5,0). Simplify fraction answers.

Step 1. The slope m is given as

Step 2. Let (x1,y1)=(5,0) 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-5 to both sides to get rid of denominator on right side of equation.

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. 15/3 = 5.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 15/4 = 3.75.
Slope is -3/4 = -0.75.
Equation in slope-intercept form: y=-0.75*x+3.75.

I hope the above steps were helpful.

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http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit
http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Point Slope Formula:
Given:

(,) = (,)

Substitute to our formula:
---> , Answer in Slope Intercept Form

Let's check,
We know Y-Intercept is b in = 15/4

Fy=0:
--->

, X-intercept (5,0)

Thank you,
Jojo
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