graph the line.\n$y = x - 6$

graph the line.\n$y = x - 6$

graph the line.\n$y = x - 6$

Answer

Explanation:

Step1: Find the y - intercept

The equation is (y = x - 6). In the slope - intercept form (y=mx + b) (where (m) is the slope and (b) is the y - intercept), when (x = 0), (y=-6). So one point on the line is ((0,-6)).

Step2: Find another point using the slope

The slope (m = 1=\frac{\Delta y}{\Delta x}). Starting from the point ((0,-6)), if (\Delta x=1) (increase (x) by 1), then (\Delta y = 1) (increase (y) by 1). So another point is ((1,-5)) (since (y=1 - 6=-5) when (x = 1)).

Step3: Plot the points and draw the line

Plot the points ((0,-6)) and ((1,-5)) on the coordinate plane. Then draw a straight line passing through these two points.

Answer:

Plot the points ((0,-6)) and ((1,-5)) and draw a straight line through them.