graph the line.\n$y = -\\frac{1}{5}x + 6$
graph the line.\n$y = -\\frac{1}{5}x + 6$
Answer
Explanation:
Step1: Identify 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 + 6), (b = 6). So the line crosses the y - axis at ((0,6)). Mark the point ((0,6)) on the graph.
Step2: Determine the slope
The slope (m=-\frac{1}{5}), which means for every 5 units we move to the right (increase in (x) by 5), we move down 1 unit (decrease in (y) by 1). From the point ((0,6)), if we move (x = 5) (to (x=5)), then (y=6 - 1=5), so we get the point ((5,5)). We can also move left 5 units ( (x=- 5)) and up 1 unit ( (y = 6+1 = 7)) to get the point ((-5,7)).
Step3: Draw the line
Connect the points (e.g., ((0,6)) and ((5,5)) or other points found using the slope) with a straight line and extend it in both directions.
Answer:
To graph (y =-\frac{1}{5}x + 6), first plot the y - intercept ((0,6)). Then use the slope (m =-\frac{1}{5}) to find another point (e.g., from ((0,6)), move 5 units right and 1 unit down to get ((5,5))) and draw a straight line through these points, extending it in both directions.