graph the line with the equation $y = -\frac{1}{5}x + 7$.
graph the line with the equation $y = -\frac{1}{5}x + 7$.
Answer
Explanation:
Step1: Find the y - intercept
The equation is in slope - intercept form (y = mx + b), where (b) is the y - intercept. For (y=-\frac{1}{5}x + 7), when (x = 0), (y=7). So, plot the point ((0,7)).
Step2: Use the slope to find another point
The slope (m=-\frac{1}{5}). From the point ((0,7)), move 5 units to the right (increase (x) by 5) and 1 unit down (decrease (y) by 1). We get 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.
Answer:
Plot the point ((0,7)) (y - intercept), then use the slope (m =-\frac{1}{5}) (move 5 right and 1 down from ((0,7)) to get ((5,6))) and draw the line through these two points.