Math 160 – Section 1.2 – The Slope of a curve at a Point
You have been given the graph of
2
( )y f x x
and three lines which are tangent to the
graph of
2
( )y f x x
at x = -3, -1, and 2.
a) From the graph, obtain the value of the slope and y-intercept of each of the lines. Then,
complete the table and label each of the lines on the graph.
x-
coordinate
Coordinates of the
point on the graph
Slope of line tangent
to the graph at the
given point
y-
intercept
Equation of the
tangent line
x = -3
1
y
x = -1
2
y
x = 2
3
y
1
