MA.912.A.3.8 Graphing Linear Equations
4-Function Calculator
Functions
Polynomials
Rationals-Discrete
In Your Text
Section 3-1 Pages 155-156
Section 3-2 Page 136
Section 4-1 Pages 214-217
What You Need To Know...
Graph a line with given information.
- The benchmark will be assessed using MC (Multiple Choice) items.
- Students will identify graphs given: a table of values; the x- and y-intercepts; two points; the slope and a point; or the equation of the line in slope-intercept form, standard form,or point-slope form.
- Students will identify graphs of linear inequalities given: the equation of the linear inequality in slope-intercept form; or the equation of the linear inequality in standard form.
- Items may include lines with zero slope or undefined slope.
- Graphics should be used in all items.
- Equations should not be presented in function notation.
Example One
Roger went to a garage sale where hardback books sold for $5 each and paperback books sold for $2.50 each. He has $20 to spend. The equation below can be used to find how many books of each type Roger can buy, where x is the number of hardback books and y is the number of paperback books.
5x + 2.5y = 20
Which of the following shows the graph of this equation?
Example Two
Kristen can spend up to $50 on rock to landscape her yard. She decides to use both pebble rock and river rock. Pebble rock costs $2 per pound and river rock costs $5 per pound. The inequality below models the possible number of pounds of pebble rock and river rock that Kristen can purchase.
Which graph represents the inequality?