Final answer:
To graph the equation y=-1/2x+1, plot the y-intercept at (0,1) and then use the slope of -1/2 to find other points by moving down 1 and right 2 from the y-intercept. Connect these points with a straight line.
Step-by-step explanation:
To draw the graph of y = -½x + 1 on a coordinate grid, you need to understand the equation format y = mx + b, where m is the slope of the line and b is the y-intercept. The given equation has a slope of -½ and a y-intercept of 1. This means that the line crosses the y-axis at (0,1).
Here is how you can graph this linear equation step by step:
- Begin at the y-intercept (0,1) and place a point on the grid.
- From this point, since the slope is -½, you will move down 1 unit (the 'rise') and to the right 2 units (the 'run') to find the next point on the line. This reflects the negative slope.
- Repeat step 2 to find at least one more point.
- Once you have multiple points, use a ruler to connect them, extending the line through the points across the grid.
Remember that the slope is constant throughout the line, and all points should lie straight on this line when connected. This line represents the dependence of y on x.