Tuesday, July 22, 2014

find both intercepts and gradient for: 3x

3x - 7y + 2 = 0


We need to
find intercepts and gradient.


First we will find
x-intercept.



The x-intercept is when the line
meets the x-axis, then y values will be zero.


==> y=
0 ==> 3x + 2 = 0 ==> x = -2/3


Then the
x-intercept is the point ( -2/3 , 0)


The y-intercept is the
point where the line meets the y-axis, then x value is
0.


==> x = 0 ==> -7y +2 = 0 ==> y=
2/7


Then the y-intercept is the point ( 0,
2/7)


The gradient is the slope of the
line.


 We will rewrite the line equation into the slope
form.


 ==> 3x - 7y + 2 =
0



==> y = (-3x -2)/-7 = (3/7)x +
2/7


==> y= (3/7)x +
2/7


Then the gradient of the line is m =
3/7



Then the intercepts are the
points (-2/3, 0) and (0, 2/7) and the gradient is
3/7.

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