graph the line with the equation $y = \\frac{2}{3}x + 1$.
graph the line with the equation $y = \\frac{2}{3}x + 1$.
Answer
Explanation:
Step1: Find the y - intercept
The equation is in the form (y = mx + b), where (b) is the y - intercept. For (y=\frac{2}{3}x + 1), when (x = 0), (y=1). So, plot the point ((0,1)).
Step2: Use the slope to find another point
The slope (m=\frac{2}{3}=\frac{\text{rise}}{\text{run}}). From the point ((0,1)), move 2 units up (rise) and 3 units to the right (run). We get the point ((3,1 + 2)=(3,3)).
Step3: Draw the line
Connect the points ((0,1)) and ((3,3)) with a straight line. Extend the line in both directions.
Answer:
The graph of the line (y=\frac{2}{3}x + 1) passes through the points ((0,1)) and ((3,3)) and is a straight line connecting these two points (and extended infinitely in both directions).