Final answer:
To write the equation in slope-intercept form and determine the slope and y-intercept, we can isolate y and rearrange the terms in the equation.
Step-by-step explanation:
The given equation is -2x = -3y-6. To write the equation in slope-intercept form, we need to solve for y.
We can start by isolating y on one side of the equation. Adding 3y to both sides gives: 3y-2x = -6.
Next, we can rearrange the terms so that y is alone on one side of the equation. To do this, we can add 2x to both sides: 3y = 2x - 6.
Finally, we divide both sides of the equation by 3 to solve for y: y = (2/3)x - 2. This is the equation in slope-intercept form.
The slope of the equation is 2/3 and the y-intercept is -2.
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