9514 1404 393
Answer:
- slope: -1/2
- y-intercept: 2
Explanation:
The slope-intercept form of the equation for a line is ...
y = mx + b
where m represents the slope, and b represents the y-intercept. To find the slope and y-intercept of your equation, compare it to this form. Matching the patterns, you see that ...
m = -1/2
b = 2
The slope is -1/2; the y-intercept is 2.
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The graph can be made by locating the y-intercept at y=2 on the y-axis. Then locate another point that is over 2 and down 1* from the y-intercept. The coordinates of that point will be (2, 1). Draw the line through those two points.
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* The slope is often described as "rise"/"run", that is, the vertical change (rise) divided by the corresponding horizontal change (run). A slope of -1/2 means the "rise" is -1 units (down 1) while the corresponding "run" is 2 units (to the right).