Gradient of a Straight Line

Gradient of a Straight Line

TGM Original
The gradient measures the slope of a line. m= y_2-y_1x_2-x_1=tantheta x_2!= x_1 theta is the angle of inclination from the positive x-axis, 0 <= theta0 | m<0 Keep the subtraction order the same in the numerator and denominator.

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Answer:\(m_{AB}=\dfrac{y_2-y_1}{x_2-x_1}=\tan\theta\text{ for}\hspace{0.5em}x_2\ne x_1\) \(\text{vertical: undefined}\) \(\text{horizontal:}\hspace{0.5em}m=0\) \(\text{rising:}\hspace{0.5em}m>0\) \(\text{falling:}\hspace{0.5em}m<0\)

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