Lesson 4: Connecting Equations to Graphs (Alg1.2.10)
Analyzing Graphs!Here are the graphs of four linear equations.
1. Which graphs have a slope of 3?
2. Which graphs have a slope of ?
3. Which graphs have a y-intercept of -1?
4. Which graphs have a x-intercept of -2?
5. Graph A represents the equation . Which other equations could graph A represent?
Find the slope and intercepts of the graph. Then, describe the meaning of the slope and intercepts. Determine if the values you come up with are reasonable answers for the situation.
The printing company keeps an inventory of the number of cases of paper it has in stock.
Find the slope and intercepts of the graph. Then, describe the meaning of the slope and intercepts. Determine if the values you come up with are reasonable answers for the situation.
The market value of a house is determined by the size of the house.
Find the slope and intercepts of the graph. Then, describe the meaning of the slope and intercepts. Determine if the values you come up with are reasonable answers for the situation.
Tyler teaches paint classes in which the amount of money he makes depends on the number of participants he has.
Graphing Games and RidesHere are the three equations.
Each represents the relationship between the number of games, , the number of rides, , and the dollar amount a student is spending on games and rides at a different amusement park.
Your teacher will assign to you (or ask you to choose) 1 equation. Answer the following questions.
Equation: Equation 1:
Equation 2:
Equation 3: 
What’s the number of rides the student could get on if they don’t play any games? On the coordinate plane below, mark the point that represents this situation and label the point with its coordinates.
What’s the number of games the student could play if they don’t get on any rides? On the coordinate plane below, mark the point that represents this situation and label the point with its coordinates. Draw a line to connect the two points you’ve drawn.