Question

write a slope - intercept equation for a line that passes through (-4, 1) and (3, -20). the slope of the given line is m = -3. (simplify your answer. type an integer or a simplified fraction.) the slope - intercept equation for the line is \square. (simplify your answer. type an equation. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Confirm slope value

The slope is given as $m = -3$.

Step2: Use point-slope form

Choose point $(-4,1)$, apply $y - y_1 = m(x - x_1)$:
$y - 1 = -3(x - (-4))$

Step3: Simplify to slope-intercept form

Expand and isolate $y$:
$y - 1 = -3x - 12$
$y = -3x - 12 + 1$
$y = -3x - 11$

Answer:

$y = -3x - 11$