graph the line with the equation $y = \\frac{3}{5}x - 4$.
graph the line with the equation $y = \\frac{3}{5}x - 4$.
Answer
Answer:
To graph the line (y = \frac{3}{5}x - 4), 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=-4). So, plot the point ((0,-4)) on the y - axis.
Step2: Identify the slope
The slope (m=\frac{3}{5}). The slope (m=\frac{\text{rise}}{\text{run}}). From the point ((0,-4)), use the slope to find another point. Since (m = \frac{3}{5}), from the point ((0,-4)), move 3 units up (rise) and 5 units to the right (run). This gives the point ((0 + 5,-4+3)=(5,-1))
Step3: Draw the line
Connect the two points ((0,-4)) and ((5,-1)) with a straight line. Extend the line in both directions.