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Chapter 6: Section 2 Slope-Intercept Form
Linear Equation Any equation whose graph is a lineSince a function rule can form a line, a function can be linear f(x) = 2x + 5
Y-Intercept Represented by the variable bThe y-coordinate of the point where the line crosses the y-axis Graph y = 2x + 5 to see where is crosses the y-axis. What is its slope?
Slope-Intercept Form y = mx + b m = slope b = y-intercept
Find the slope and y-intercepty = 3x – 5 y = x + 1 y = (2/3)x – 3 y = -2x
Write an equation of the line from the given slope and y-intercept.m = 2/9 b = 3 m = 0 b = 1 m = -1/4 b = -2 m = 3 b = 0
Write the slope-intercept form from the graph of the equation
Use the slope and the y-intercept to graph the equationy = ½ x +4 y = 2x +5 y = -3/2 x
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Example 2 Graphing Using Slope-Intercept Form Graph the equation y = x STEP 3 Draw a line through the points. 2 1 STEP 2Use the slope,, to plot.
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2-3 LINEAR FUNCTIONS AND SLOPE- INTERCEPT FORM. OBJECTIVES To graph linear equations –Linear function- a function whose graph is a line To write linear.
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