graph the line.\ny = -x + 7

Explanation:

Step1: Find the y - intercept

The equation is (y=-x + 7). In the slope - intercept form (y=mx + b) (where (m) is the slope and (b) is the y - intercept), when (x = 0), (y=7). So one point on the line is ((0,7)).

Step2: Find the x - intercept

Set (y = 0). Then (0=-x + 7), which gives (x = 7). So another point on the line is ((7,0)).

Step3: Plot the points and draw the line

Plot the points ((0,7)) and ((7,0)) on the coordinate plane. Then draw a straight line passing through these two points.

Answer:

Plot the points ((0,7)) and ((7,0)) and draw a straight line through them to graph (y=-x + 7).