graph the following features:\n• slope = 2\n• y - intercept = 2

graph the following features:\n• slope = 2\n• y - intercept = 2

graph the following features:\n• slope = 2\n• y - intercept = 2

Answer

Explanation:

Step1: Write the equation of the line

The slope - intercept form of a line is (y = mx + b), where (m) is the slope and (b) is the (y) - intercept. Given (m = 2) and (b=2), the equation is (y = 2x + 2).

Step2: Plot the (y) - intercept

The (y) - intercept is (2). So, plot the point ((0,2)) on the (y) - axis.

Step3: Use the slope to find another point

The slope (m = 2=\frac{\Delta y}{\Delta x}). Starting from ((0,2)), if (\Delta x = 1), then (\Delta y=2). So, another point is ((0 + 1,2+2)=(1,4)).

Step4: Draw the line

Connect the points ((0,2)) and ((1,4)) and extend the line in both directions.

Answer:

Plot the point ((0,2)) (from the (y) - intercept). Then, using the slope (m = 2) (rise (2), run (1)), find another point ((1,4)) and draw a straight line through these two points.