Question

The tangent line to the graph of y=h(x) at the point (-1,4) passes through the point (3,6). Find h(-1) and h

'(-1).

Answer 1

Since y = h(x), and (-1, 4) is a point that lies of the curve h(x), we know that h(-1) = 4. We know that the tangent line that passes through (-1,4) on h(x) also passes through the point (3,6). The find h'(-1), simply find the slope of the line that passes through (-1,4) and (3,6).

Answer 2

*To find h'(-1)...

Answer 3

Its 1/2

Answer 4

Yes it is.