graph the line with the equation $y = -\\frac{1}{5}x - 3$.
graph the line with the equation $y = -\\frac{1}{5}x - 3$.
Answer
Answer:
To graph the line ( y =-\frac{1}{5}x - 3), we can use the slope - intercept form (y=mx + b), where (m =-\frac{1}{5}) (slope) and (b=-3) (y - intercept).
Step1: Plot the y - intercept
The y - intercept is (b=-3). So, we plot the point ((0,-3)) on the y - axis.
Step2: Use the slope to find another point
The slope (m =-\frac{1}{5}=\frac{\text{rise}}{\text{run}}). From the point ((0,-3)), since the slope is (-\frac{1}{5}), we can move 1 unit down (because the numerator of the slope is (- 1)) and 5 units to the right (because the denominator of the slope is (5)). This gives us the point ((5,-4)).
Step3: Draw the line
Connect the points ((0,-3)) and ((5,-4)) with a straight line. Extend the line in both directions to complete the graph of the equation (y =-\frac{1}{5}x - 3).