Using the slope-intercept form of a line, find the equation of the line with slope 3/2 and

y-intercept –2. Then graph the line on the grid provided and explain how you determined your graph.

The slope intercept form of a line is

y = mx + b

where m is the slope of the line

and b is the y-intercept.

Here, m = 3/2 and b = -2

So, equation of the line is

We already know one point on the line which is the y-intercept (0, -2).

Now we need one more point to plot the line.

At x = 2

So, the other point on the line is (2, 1).

Draw a line passing through these two points.

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