SOLUTION: Write the standard form of the equation of the line trhough the given point with the given slope: through: (1,2) slope=7

Algebra ->  Linear-equations -> SOLUTION: Write the standard form of the equation of the line trhough the given point with the given slope: through: (1,2) slope=7      Log On


   

Question 169724: Write the standard form of the equation of the line trhough the given point with the given slope:
through: (1,2) slope=7
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you want to find the equation of line with a given a slope of 7 which goes through the point (1,2), you can simply use the point-slope formula to find the equation:


---Point-Slope Formula---


y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and is the given point


So lets use the Point-Slope Formula to find the equation of the line


y-2=%287%29%28x-1%29 Plug in m=7, x%5B1%5D=1, and y%5B1%5D=2 (these values are given)


y-2=7x%2B%287%29%28-1%29 Distribute 7


y-2=7x-7 Multiply 7 and -1 to get -7


y=7x-7%2B2 Add 2 to both sides


y-7x=-7%2B2 Subtract 7x from both sides.


-7x%2By=-5 Combine and rearrange the terms.


7x-y=5 Multiply EVERY term by -1 to make the "x" coefficient positive.



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Answer:


So the equation in standard form Ax%2BBy=C is 7x-y=5 where A=7, B=-1 and C=5