Final answer:
The slope of the equation 4x - 4y = 17 is 1. The y-intercept is -17/4.
Step-by-step explanation:
The equation 4x - 4y = 17 can be written in slope-intercept form as y = mx + b, where m represents the slope and b represents the y-intercept. To find the slope, we need to solve the equation for y. Rearranging the equation, we get -4y = -4x + 17. Dividing both sides by -4, we find that y = x - 17/4. Comparing this equation with the slope-intercept form, we can see that the slope, represented by m, is 1.
To find the y-intercept, we need to identify the value of y when x = 0. Plugging in x = 0 into the equation y = x - 17/4, we find that y = -17/4. Therefore, the y-intercept is -17/4.