graph the line with the equation $y = -\\frac{1}{5}x + 7$.

Answer:

To graph (y =-\frac{1}{5}x + 7), follow these steps:

Step1: Identify the y - intercept

The equation is in slope - intercept form (y=mx + b), where (b) is the y - intercept. Here, (b = 7). So, plot the point ((0,7)) on the y - axis.

Step2: Identify the slope

The slope (m=-\frac{1}{5}). This can be written as (\frac{\text{rise}}{\text{run}}=\frac{- 1}{5}). From the point ((0,7)):

• For the "rise" (vertical change): since the numerator of the slope is (-1), move (1) unit down.
• For the "run" (horizontal change): since the denominator of the slope is (5), move (5) units to the right. This gives the point ((5,6))

Step3: Draw the line

Connect the points ((0,7)) and ((5,6)) with a straight line. Extend the line in both directions to complete the graph of (y =-\frac{1}{5}x+7)