Final answer:
The slope of the line given by the equation −6x−2y=−18 is −3, found by rearranging the equation into slope-intercept form.
Step-by-step explanation:
To find the slope of the line represented by the equation −6x−2y=−18, you need to isolate y to put the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Here's how:
- Add 6x to both sides of the equation to get −2y = 6x − 18.
- Divide everything by −2 to solve for y, resulting in y = −3x + 9.
The slope of the line is the coefficient of x, which in this case is −3.