Question

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

Answer 1

Answer:

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

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