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) (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) (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 and intercept a, is
(see a paragraph below explaining why this formula is correct)
Given that a=7, and , we have the equation of the line:

Explanation: Why did we use formula ? 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 ( , ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for ( , ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: .
Here's the graph:

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and in form will be:
Answer by lwsshak3(11628) (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
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