graph the line.\ny = -5x + 6

Explanation:

Step1: Find the y - intercept

The equation is in the form (y = mx + b), where (b) is the y - intercept. For (y=-5x + 6), when (x = 0), (y=6). So one point is ((0,6)).

Step2: Find another point using the slope

The slope (m=-5=\frac{\Delta y}{\Delta x}). From the point ((0,6)), if (\Delta x = 1), then (\Delta y=-5). So another point is ((0 + 1,6-5)=(1,1)).

Step3: Plot the points and draw the line

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

Answer:

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