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LINEAR FUNCTIONS: SLOPE, GRAPHS AND MODELS•Find the y-intercept of a line from the •Given two points on a line, find the •Solve applied problems involving slope. Linear FunctionA linear function f is any function that can be ObjectiveFind the y-intercept of a line from the Example A Graph f (x) = 3x and g(x) = 3x + 2 Solution
Notice that the graph of
y-Intercept of f(x) = mx + bThe y-intercept of the graph of
Example B For each equation, find the y-intercept.
Solution a) y = −3.1x + 7 (0, 7) is the y-intercept. (0, –9) is the y-intercept. ObjectiveGiven two points on a line, find the SlopeThe slope of the line containing points Example C Graph the line containing the points (3, –2) Solution Example D Determine the slope and y-intercept of the Solution The equation is written in the form y = mx + b, Example E Determine the slope and y-intercept of the Solution The slope is 4/7 and the y-intercept is (0, –2/7). ObjectiveSolve applied problems involving Some applications use slope to measure the steepness. Example F Solution The grade of the treadmill is 7.6%. Example G Wanda’s Hair Salon has a graph a) What rate can be Solution |