graph the line with the equation $y = \\frac{1}{3}x + 7$.
graph the line with the equation $y = \\frac{1}{3}x + 7$.
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}{3}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}{3}=\frac{\text{rise}}{\text{run}}). From the point ((0,7)), move 1 unit up (rise) and 3 units to the right (run). This gives the point ((0 + 3,7+1)=(3,8)).
Step3: Draw the line
Connect the points ((0,7)) and ((3,8)) and extend the line in both directions.
Answer:
Plot the point ((0,7)) (y - intercept), then use the slope (\frac{1}{3}) (rise 1, run 3) from ((0,7)) to get ((3,8)), and draw a straight line through these two points.