graph the line.\n$y=\\frac{4}{3}x - 1$
graph the line.\n$y=\\frac{4}{3}x - 1$
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{4}{3}x - 1), (b=- 1). So the line crosses the y - axis at the point ((0,-1)). Plot the point ((0, - 1)) on the coordinate plane.
Step2: Use the slope to find another point
The slope (m=\frac{4}{3}), which means for every 3 units we move to the right (increase in (x) by 3), we move up 4 units (increase in (y) by 4). Starting from ((0,-1)), if we move 3 units to the right ( (x = 0+3 = 3)) and 4 units up ( (y=-1 + 4=3)), we get the point ((3,3)). Plot the point ((3,3)).
Step3: Draw the line
Use a straight - edge to draw a line passing through the points ((0,-1)) and ((3,3)). Extend the line in both directions to complete the graph of the line (y=\frac{4}{3}x-1).
Answer:
The line is graphed by plotting the y - intercept ((0,-1)) and the point ((3,3)) (found using the slope) and then drawing a straight line through these points (and extending it).