Final answer:
To write the equation 5x - 3y = 12 in slope-intercept form, y = mx + b, isolate y by subtracting 5x from both sides, then divide both sides by -3 to solve for y. The slope of the equation is 5/3.
Step-by-step explanation:
To write the equation 5x - 3y = 12 in slope-intercept form, which is y = mx + b, we need to solve for y. First, we isolate y by subtracting 5x from both sides: -3y = -5x + 12. Then, we divide both sides by -3 to solve for y: y = (5/3)x - 4. The slope of the equation is 5/3.