CPM Homework Help : AC Problem 12-94

If f(−1) = 7 and f(3) = 8, and if the graph of f(x) is a line: Homework Help ✎
1. Graph the line on graph paper.
2. Find the equation for f(x).
3. If g(x) is a line that is perpendicular to f(x), what is its slope?

Hint (a):

f(−1) = 7 represents the point (−1, 7).
Graph this point and the point corresponding to f(3) = 8 in order to sketch the line.

Hint (b):

Use the y = mx + b format wherem = slope (growth) and b = y-intercept (starting point).

Hint (b):

Find the growth and substitute one of the coordinates of a point in the problem and solve for b.

Hint (c):

A line g(x) that is perpendicular to f(x) has a slope that is the negative reciprocal of the slope of the line f(x).