If f(−1) = 7 and f(3) = 8, and if the graph of f(x) is a line: Homework Help ✎
Graph the line on graph paper.
Find the equation for f(x).
If g(x) is a line that is perpendicular to f(x), what is its slope?
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.
Use the y = mx + b format wherem = slope (growth) and b = y-intercept (starting point).
Find the growth and substitute one of the coordinates of a point in the problem and solve for b.
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).