find both intercepts and gradient for: 3x - 7y + 2 = 0  

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hala718 | High School Teacher | (Level 1) Educator Emeritus

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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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