Final answer:
To transform the equation 12x - 10y = -17 to slope-intercept form, isolate y to get y = 1.2x - 1.7, which displays a slope of 1.2 and a y-intercept of -1.7.
Step-by-step explanation:
To rewrite the equation 12x - 10y = -17 in slope-intercept form, you need to solve for y. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Here's how you can transform the given equation step by step:
- Start with the original equation: 12x - 10y = -17.
- Move the term containing x to the other side of the equation by subtracting 12x from both sides: -10y = -12x - 17.
- Next, divide every term by the coefficient of y, which is -10, to isolate y: y = (12/10)x + 17/10.
- Simplify the fractions if necessary: y = 1.2x - 1.7.
Now, the equation is in slope-intercept form. The slope is 1.2 and the y-intercept is -1.7.