SOLUTION: Please help me solve this problem into ax+by=c form which is a line passing throught the point (2,4) with slope:7

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Question 1002715: Please help me solve this problem into ax+by=c form which is a line passing throught the point (2,4) with slope:7
Found 3 solutions by person24, MathLover1, lwsshak3:
Answer by person24(13) About Me  (Show Source):
You can put this solution on YOUR website!
ax+by=c
(2,4)
7=m
okayy :)
lets start off with writing this in slope intercept form and working from there.
x=2
4=y
7=m
4=(2)(7)+b
4=14+b
b=-10
y=7x-10
now we can rewrite that by moving(subtracting) 7x to the other side.
-7x+y=-10
hope that helps!

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: FIND a line by slope and one point

What we know about the line whose equation we are trying to find out:

  • it goes through point (2, 4)

  • it has a slope of 7



First, let's draw a diagram of the coordinate system with point (2, 4) plotted with a little blue dot:



Write this down: the formula for the equation, given point x%5B1%5D%2C+y%5B1%5D and intercept a, is

y=ax+%2B+%28y%5B1%5D-a%2Ax%5B1%5D%29 (see a paragraph below explaining why this formula is correct)

Given that a=7, and system%28+x%5B1%5D+=+2%2C+y%5B1%5D+=+4+%29+, we have the equation of the line:

y=7%2Ax+%2B+-10

Explanation: Why did we use formula y=ax+%2B+%28y%5B1%5D+-+a%2Ax%5B1%5D%29 ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (x%5B1%5D, y%5B1%5D) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (x%5B1%5D, y%5B1%5D): y%5B1%5D+=+a%2Ax%5B1%5D%2Bb Here, we know a, x%5B1%5D, and y%5B1%5D, and do not know b. It is easy to find out: b=y%5B1%5D-a%2Ax%5B1%5D. So, then, the equation of the line is: +y=ax%2B%28y%5B1%5D-a%2Ax%5B1%5D%29+.

Here's the graph:




and y=7x-10 in ax%2Bby=c form will be: -7x%2By=-10

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this problem into ax+by=c form which is a line passing throught the point (2,4) with slope:7
I will use the point slope formula for a line:
y-y1=m(x-x1
y-4=7(x-2)
y-4=7x-14
7x-y=14