Question

graph the following features: • y-intercept = -2 • slope = -\frac{2}{3}

Explanation:

Step1: Plot the y-intercept

The y-intercept is -2, so we plot the point (0, -2) on the coordinate plane.

Step2: Use the slope to find another point

The slope is $-\frac{2}{3}$, which means for every 3 units we move to the right (increase in x by 3), we move down 2 units (decrease in y by 2). Starting from (0, -2), moving 3 units right to x = 3 and 2 units down to y = -2 - 2 = -4, so we get the point (3, -4). We can also move 3 units left (x = -3) and 2 units up (y = -2 + 2 = 0) to get (-3, 0).

Step3: Draw the line

Connect the points (0, -2), (3, -4), and (-3, 0) (or any two of these points) with a straight line to graph the linear equation.

Answer:

The graph is a straight line passing through the points (0, -2), (3, -4), and (-3, 0) (or other points determined by the slope from the y-intercept).