Final answer:
The equation -3y + 5x = 12 can be written in slope-intercept form by isolating y on one side of the equation. The resulting equation is y = (-5/3)x + 4.
Step-by-step explanation:
The equation -3y + 5x = 12 can be written in slope-intercept form. To do this, we need to isolate y on one side of the equation.
First, let's move the 5x term to the other side of the equation:
-3y = -5x + 12
Next, divide both sides by -3 to solve for y:
y = (-5/3)x + 4
So, the equation in slope-intercept form is y = (-5/3)x + 4. The slope of the line is -5/3, and the y-intercept is 4, which represents the point where the line crosses the y-axis.
Learn more about writing equations in slope-intercept form