Mathematics: A line passes through the point (-9, 2) and has a slope of -2/3

A line passes through the point (-9, 2) and has

makoa

18.03.2022

$y-2=-\frac{2}{3} (x+9)$

Step-by-step explanation:

Equation of line in point slope form is

y-y_1=m(x-x_1) ------------(1)

Here

$m=-\frac{2}{3} \ \ and \ \ (x_1, y_1) = (-9, 2)$

Substituting values in equation (1)

$y-2=-\frac{2}{3} (x+9)$ This is equation of line in point-slope form

Simplifying it further

$y=-\frac{2}{3}x - 6 + 2$

$y=-\frac{2}{3}x - 4$ This is equation of same line in slope-intercept form

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