Final answer:
The equation x - 2y = 2 can be rearranged to the slope-intercept form y = 1/2x - 1, revealing the slope to be 1/2 and the y-intercept to be -1; thus, the correct answer is A) Slope = 1/2, y-intercept = -1.
Step-by-step explanation:
The student has asked to identify the slope and y-intercept of the equation x - 2y = 2. To find these, we should first rearrange the equation into the slope-intercept form, which is y = a + bx, where a represents the y-intercept and b represents the slope. Following this format will clarify the relationship between the equation's components and the line's properties on a graph.
To rearrange the given equation into the slope-intercept form, we begin by isolating y on one side. Here's how we can do it step by step:
- Subtract x from both sides: -2y = -x + 2.
- Divide every term by -2 to solve for y: y = x/2 - 1.
We see now that the equation has been turned into the slope-intercept form: y = 1/2x - 1. From this, it's clear that the slope (b) is 1/2 and the y-intercept (a) is -1.
Therefore, the correct answer is A) Slope = 1/2, y-intercept = -1.