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

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Answer 1 · 2016-10-31T15:23:40

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

Slope (m) of the line joining the two points $=(y_2-y_1)/(x_2-x_1$ $=(-6+2)/(8+1)$ $=-4/9$ .

$:.$ 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).

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