graph the line with the equation $y = \\frac{1}{6}x + 3$.
graph the line with the equation $y = \\frac{1}{6}x + 3$.
Answer
Answer:
To graph the line (y = \frac{1}{6}x+3), 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 = 3). So, plot the point ((0,3)) on the y - axis.
Step2: Identify the slope
The slope (m=\frac{1}{6}). Slope (m=\frac{\text{rise}}{\text{run}}). So, from the point ((0,3)), move 1 unit up (rise) and 6 units to the right (run). This gives the point ((0 + 6,3+1)=(6,4))
Step3: Draw the line
Connect the points ((0,3)) and ((6,4)) with a straight line. Extend the line in both directions.