subject: Y Intercept Calculator [print this page] Introduction to y intercept calculator:Introduction to y intercept calculator:
If the line equation in the form of px + qy + r=0, then make them it in the form of (x/a) + (y/b) =1
then X-intercept will be a and Y-intercept = b
how to turn a equation px + qy + r = 0 into (x/a)+(y/b)=1
px + qy + r = 0
px + qy = -r
On the right hand side we are making 1 by dividing the hole equation with -r
so p(x / -r) + q(y / -r) = 1
X / (-r/p) + Y / (-r/q) =1
so compare above equation with x / a + y / b = 1 where a is x-intercept and , b is y-intercept so
x-intercept = -r/p and y-intercept = -r/q and slope=-p/q
Examples on Y-intercept Calculator
If the equation is 2x + 4y + 6 = 0
here p = 2, q = 4, r = 6
So x-intercept= -r/p = -6/2 = -3/2
Y-intercept = -r/q
So y-intercept = -6/4 = -3/2
Y Intercept Calculator
If the line equation is in the form of y=mx+c than constant c is y-intercept here and m is slope of the line
If line equation is like y=3x+5 than 5 is y-intercept and 3 is slope of line equationand if the line equation is like 3x+y-5=0 to y-intercept put x=0(since y-intercept means the distance form origin (0, 0) to line intercepting point with y-axis) so on the y-axis x coordinate is equal to zero so put x=0 to get y-intercept this is the easiest and shortest way to find y-intercept,
Let us take 2x+3y+7=0 to find y-intercept put x=0 in 2(0) +3y+7=0
3y+7=0
3y=-7
y=-7/3
So y-intercept is equal to -7/3in the similar way we will find the x-intercept value by substituting y=0
So to find y-intercept put x=0 in the given line equationand for x-intercept put y=0
Ex:line equation is 2x-3y-6=0 find x-intercept and y-intercept
Answer:
method1:
2x-3y-6=0
2x-3y=6
2x/6 -3y/6 =1
So x/3 - y/2 =1
So it is in the form of x/a +y/b=1 where x-intercept =a and y-intercept =b
So x-intercept =3 and y-intercept=-2
Method 2:
2x-3y-6=0
make the above line in the form of y=mx+c
so m=slope and c is y-intercept
So 3y=2x-6
and y=2/3 x -6/3
y=2/3 x- 2
So y intercept =-2
Method 3:
2x-3y=6
so for y-intercept put x=0 and for x-intercept put y=0
So for y-intercept x=0=> 2(0)-3y=6
-3y=6
y=6/-3
y=-2
Now for x-intercept put y=0
So 2x-3y=6
y=0 so 2x-3(0) =6
So x=6/2
x=3
So y-intercept =-2 and x-intercept =3
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Practices Problems on Y - Intercept Calculator
1) 3x+6y=6 then find x,y intercepts
2) x/3+y/6=1 than y-intercept is
3 )y=3x+9 than slope____________ and y-intercept=?
4) mx+ny=mn than x-intercept =__ and y-intercept =__ where m,n are constants
5) 2x-6y=12 than x-intercept=__ and y-intercept =___
6) x+y=0 than x-intercept =__ and y-intercept=___
7) 3x-6y=18 than y-intercept =__ and x-intercept =___
8) 12x-6y=24 than x-intercept =__ and y-intercept=___
9) x+y=2 than y-intercept+x-intercept=__(answer :4)
