graph the line with the equation $y = \\frac{1}{6}x + 5$.
graph the line with the equation $y = \\frac{1}{6}x + 5$.
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}{6}x + 5), when (x = 0), (y=5). So, plot the point ((0,5)).
Step2: Use the slope to find another point
The slope (m=\frac{1}{6}=\frac{\text{rise}}{\text{run}}). From the point ((0,5)), move 1 unit up (rise) and 6 units to the right (run). We get the point ((6,6)) (since (y=5 + 1=6) when (x=0+6 = 6)).
Step3: Draw the line
Connect the points ((0,5)) and ((6,6)) with a straight line and extend it in both directions.
Answer:
Plot the point ((0,5)) (y - intercept), then use the slope (\frac{1}{6}) (rise 1, run 6) from ((0,5)) to get ((6,6)), and draw a line through these two points.