A line on a coordinate plane passes through the point (4,6) and has a slope of -1.5. When the line passes through x = -2, what is the value of y?

First, let's express our line in slope-intercept form.

y = -1.5x + b

We still have to find b. Let's plug (4, 6) into our equation above to find b.

6 = -1.5(4) + b

6 = -6 + b

Add 6 to both sides.

12 = b.

Now our line looks like: y = -1.5x + 12

Plug -2 into our line for x.

y = -1.5(-2) + 12

y = 3 + 12

y = 15

When the line passes through x = -2, the value of y = 15

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