graph the following features: • y-intercept = 2 • slope = $-\\frac{6}{5}$

Explanation:

Step1: Plot the y - intercept

The y - intercept is the point where the line crosses the y - axis. Given that the y - intercept is 2, we plot the point ((0,2)) on the coordinate plane.

Step2: Use the slope to find another point

The slope (m =-\frac{6}{5}) can be interpreted as (\frac{\text{change in }y}{\text{change in }x}). A slope of (-\frac{6}{5}) means that for a change in (x) of (5) units (we move 5 units to the right along the x - axis), the change in (y) is (- 6) units (we move 6 units down along the y - axis). Starting from the point ((0,2)), if we move 5 units to the right (so (x=0 + 5=5)) and 6 units down (so (y = 2-6=-4)), we get the point ((5,-4)). We can also use the negative of the slope: (\frac{6}{-5}), which means for a change in (x) of (- 5) units (move 5 units to the left) and a change in (y) of 6 units (move 6 units up). Starting from ((0,2)), moving 5 units left ((x = 0-5=-5)) and 6 units up ((y=2 + 6 = 8)) gives the point ((-5,8)).

Step3: Draw the line

After plotting the y - intercept ((0,2)) and at least one other point (e.g., ((5,-4)) or ((-5,8))), we draw a straight line passing through these points.

(Note: Since the question is about graphing, the final answer is the graph with the line passing through ((0,2)) and other points determined by the slope. But in text - based form, we can describe the process of graphing as above.)

Answer:

The graph is a straight line passing through the point ((0,2)) (y - intercept) and other points such as ((5,-4)) (found by moving 5 units right and 6 units down from ((0,2)) using the slope (-\frac{6}{5})) or ((-5,8)) (found by moving 5 units left and 6 units up from ((0,2)) using the slope (-\frac{6}{5})). The line can be drawn by connecting these points on the given coordinate grid.