Increasing & Decreasing LinesRemember, that a line with a positive slope is increasing (goes up from left to right).A line with a negative slope is decreasing (goes down from left to right).
Writing equations of increasing & decreasing linesRemember:
1) 'm' always represents the slope.
2) Slope-intercept form is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.
Remember, slope can be calculated using the slope formula. It doesn't matter if you have a table, graph, or a set of points. Calculate the slopes of the three linear functions represented on this slide.h(x) = 3/4 x + 2
Y-InterceptsRemember, the y-intercept is the location at which the graph crosses the y-axis. The y-intercept ALWAYS has the x-value "0".f(x) = 4x + 8
Pulling It Together #1
Pulling it Together #2
Comparing Slopes #1: Given f(x) = 3/4x - 8. Compare its slope to the slopes of the functions graphed below.
Comparing Slopes #2: Compare f(x) = 4x - 9 to the functions shown below.
Comparing Functions #1f(x) = 2/3 x + 5
Comparing Functions #2
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