**3. What is the y-intercept of the line that has a slope of -4 and passes through the point (4, -6)?

10

Step-by-step explanation:

We'll first write in point-slope form:

y - y1 = m(x - x1)

where (x1, y1) is our point and m is our slope.

Then convert into slope-intercept form to make it easier to find the y-intercept.

y - (-6) = -4(x-4)

y + 6 = -4(x-4)

y + 6 = -4x + 16

y = -4x + 10

Now that we've put the equation in slope-intercept form, we see that our b-value

y = mx + b

b = 10, so our y-intercept is 10

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step-by-step explanation:

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