change in each compared to the corresponding change in the function using verbal descriptions, tables, equations, and graphs. y-value x-value. (e). slope = = = = m −3 The slope, and of a linear function can be determined given the graph of the function. m, y-intercept Example: Given the graph of the linear function, determine the slope and y-intercept. Given the graph of a linear function, the is found by determining where the line y-intercept intersects the The would be 2 or located at the point (0, 2). The slope can be y-axis. y-intercept found by determining the change in each compared to the change in each Here, y-value x-value. we could use slope triangles to help visualize this: slope = = = = m −3 Graphing a linear function given an equation can be addressed using different methods. One method involves determining a table of ordered pairs by substituting into the equation values for one variable and solving for the other variable, plotting the ordered pairs in the coordinate plane, and connecting the points to form a straight line. Another method involves using slope triangles to determine points on the line. Example: Graph the linear function whose equation is = 5x 1. y − In order to graph the linear function, we can create a table of values by substituting arbitrary values for to determining coordinating values for x y:
change in each y-value compared to the corresponding change in the x-value. slope = m = = = −3 The slope, m, and y-intercept of a linear function can be determined given the graph of the function. Example: Given the graph of the linear function, determine the slope and y-intercept. Given the graph of a linear function, the y-intercept is found by determining where the line intersects the y-axis. The y-intercept would be 2 or located at the point (0, 2). The slope can be found by determining the change in each y-value compared to the change in each x-value. Here, we could use slope triangles to help visualize this: slope = m = = = −3 Graphing a linear function given an equation can be addressed using different methods. One method involves determining a table of ordered pairs by substituting into the equation values for one variable and solving for the other variable, plotting the ordered pairs in the coordinate plane, and connecting the points to form a straight line. Another method involves using slope triangles to determine points on the line. Example: Graph the linear function whose equation is y = 5x − 1. In order to graph the linear function, we can create a table of values by substituting arbitrary values for x to determining coordinating values for y: function using verbal descriptions, tables, equations, and graphs. (e).
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