Use the given conditions to write an equation for the line in point-slope form and slope-intercept form
Slope , passing through
Type the point-slope form of the line

(Simplify your answer Use integers or fractions for any numbers in the equation )

Ask by Rodriguez Lyons. in the United States

Jan 25,2025

Question

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form
Slope , passing through
Type the point-slope form of the line

(Simplify your answer Use integers or fractions for any numbers in the equation )

Ask by Rodriguez Lyons. in the United States

Jan 25,2025

UpStudy AI · Accepted Answer

The **point-slope form** of a line is given by:

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

Where:
- $$ m $$ is the slope
- $$ (x_1, y_1) $$ is a point on the line

Given:
- Slope $$ m = -8 $$
- Point $$ (-6, -3) $$

Substitute these values into the point-slope formula:

$$
y - (-3) = -8(x - (-6))
$$

Simplify the equation:

$$
y + 3 = -8(x + 6)
$$

**Point-Slope Form:**

$$ y + 3 = -8(x + 6) $$
$$ y + 3 = -8(x + 6) $$