Question

1. slope = $\frac{2}{5}$, (-15, -8)

Explanation:

Step1: Use point-slope form

The point-slope formula is $y - y_1 = m(x - x_1)$, where $m=\frac{2}{5}$, $x_1=-15$, $y_1=-8$.
$y - (-8) = \frac{2}{5}(x - (-15))$

Step2: Simplify the equation

Simplify signs and distribute the slope.
$y + 8 = \frac{2}{5}(x + 15)$
$y + 8 = \frac{2}{5}x + 6$

Step3: Isolate y to get slope-intercept form

Subtract 8 from both sides.
$y = \frac{2}{5}x + 6 - 8$

Answer:

$y = \frac{2}{5}x - 2$
(Or in standard form: $2x - 5y = 10$)