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.
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I hope the above steps were helpful.
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Good luck in your studies!
Respectfully,
Dr J
Answer by jojo14344(1513)  (Show Source):
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