Question

3. A function f(x) has a slope of -and passes through

the point (-3,7). Explain how the graph of f(x)
could be used to find the y-intercept.

Answer 1

Well. this is kinda trivial.

For a function f(x) = y.

The y-intercept is defined as the point where the graph of f(x) intersects the x-axis.

This always happens at x = 0.

So the y-intercept is equal to f(0).

Now, if we have the graph of f(x), you simply can see at what value of y does the graph intersect the x-axis, and that will be the y-intercept.