What is the slope-intercept form of the line passing through (-2, -1)(−2,−1) and (-6, 8) (−6,8)?

1 Answer
Aditya Banerjee.
Oct 31, 2016

The slope-intercept form of the line passing through the two points is 4x+9y+22=0.4x+9y+22=0.

Explanation:

Slope (m) of the line joining the two points =(y_2-y_1)/(x_2-x_1=y2−y1x2−x1 =(-6+2)/(8+1)=−6+28+1 =-4/9=−49.

:.In slope-intercept form, (y-y_1)=m*(x-x_1)
:.(y+2)=-4/9*(x+1)
:.9*(y+2)=-4*(x+1)
:.9y+18=-4x-4
:.4x+9y+22=0.

:.The slope-intercept form of the line passing through the two points is 4x+9y+22=0. (answer).

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