A line has a slope of -3 and passes through the point . Write its equation in slope-
intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Question

A line has a slope of -3 and passes through the point

. Write its equation in slope-
intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form.

UpStudy AI · Accepted Answer

The slope-intercept form of a line is given by:

$$
y = mx + b
$$

where $$ m $$ is the slope and $$ b $$ is the y-intercept.

Given:
- Slope ($$ m $$) = -3
- The line passes through the point $$ (4, -15) $$.

First, substitute the slope and the coordinates of the point into the equation to solve for $$ b $$:

$$
-15 = (-3)(4) + b
$$

$$
-15 = -12 + b
$$

$$
b = -15 + 12
$$

$$
b = -3
$$

So, the equation of the line in slope-intercept form is:

$$
y = -3x - 3
$$

**Answer:**  
$$ y = -3x - 3 $$
The equation of the line in slope-intercept form is $$ y = -3x - 3 $$.

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