Graphing, Slopes, and Equations: Linear Functions Explained
Explore linear equations, graphing techniques, and slope calculations with detailed examples. Learn to write equations in different forms, find intercepts, and understand the concept of zeroes in a function.
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Presentation Transcript
Bell work: A park s revenue for tapes sold is modeled by the function r(x)=9.5x. The cost of producing the tapes is c(x)=0.8x+1940. Write a function to describe the profit for selling x tapes.
1.3: Graphing Linear Equations
Graph 5x+7y-10=0 using the intercepts
Find the slope of the equation 3x+2y-7=0
Zeroes of a function A function s zeroes are the input(s) that produce an output of zero; alternatively, they are points where the functions crosses the x-axis
What does a constant function look like?
1.4/5: Writing Linear Equations
Write the standard form equation of a line with slope=3/4 and y- intercept = 12
Write the slope-intercept form equation of a line with slope=3/4 and y-intercept = 12
A line passes through the points (5, 7), (11, 19), (a, 15), and (22, b). Find a and b
Write the equation of a line with slope -6, passing through the point (5,12)
Write the equation of a line passing through the points (5,6) and (12, 11)
Write the equation of a line with no slope passing through the point (7, 15)
Write a sentence or two to describe when it s easier to use point slope form and when it s easier to use slope intercept form
Write the equation of a line parallel to y=12x+17 Write the equation of a line perpendicular to y=12x+17
Write the equation of the line parallel to y=12x+17 AND passing through the point (12, 0) Write the equation of the line perpendicular to y=12x+17 AND passing through the point (12, 54)
Determine whether the lines are parallel, perpendicular, or neither 3x-4y=12, 9x-12y=72 15x+12y=36, 5x+4y=12
Homework: Section 1.3, page 24: 12-17, 32, 34 Section 1.4, page 30: 11-16, 23 Section 1.5, page 36: 12-14, 22- 27
