Question

Y= -x + 17 from x = 0 to 2
How do I graph this

Answer 1

To graph y = -x + 17 from x = 0 to 2, plot the y-intercept at (0,17), then plot the second point at (1,16) using the slope, and draw a line connecting these points to the endpoint (2,15).

Step-by-step explanation:

To graph the linear equation y = -x + 17 from x = 0 to x = 2, you can follow these steps:

1. Plot the y-intercept. Since the equation is y = -x + 17, the y-intercept is 17. On the graph, this is the point (0,17).
2. Use the slope. In this equation, the slope is -1, which means for every one unit increase in x, y decreases by one unit. So from the y-intercept (0,17), move to the right 1 unit (which is increasing x from 0 to 1) and down 1 unit (which decreases y from 17 to 16) to plot the second point (1,16).
3. Draw the line connecting these points, extending from x = 0 to x = 2.

Remember, since you are asked to graph only from x = 0 to x = 2, you should draw a segment of the line that starts at the y-intercept and ends at the point (2,15), where 15 is calculated by plugging x = 2 into the equation to get y = -2 + 17 = 15.