Unit 5: Analytic Geometry Review The total cost of swimming at a community swimming pool is made up of a membership fee and a cost per swim. At this community centre, Jake pays a total of $100 and swims 40 times. Paula pays a total of $70 and swims 25 times. Write the equation that represents the total cost of swimming at the community centre.

Unit 5: Analytic Geometry Review The total cost of swimming at a community swimming pool is made up of a membership fee and a cost per swim. At this community centre, Jake pays a total of $100 and swims 40 times. Paula pays a total of $70 and swims 25 times. What do the “m” and the “b” represent in your equation?

Unit 5: Analytic Geometry Review Graph the line y = 3x - 1

Unit 5: Analytic Geometry Review Graph the line y = -6

Unit 5: Analytic Geometry Review Graph the line y = - 2 3 𝑥

Unit 5: Analytic Geometry Review Graph the line x = 5

Unit 5: Analytic Geometry Review What do you know about the standard form of a linear equation?

Unit 5: Analytic Geometry Review Write the following in standard form: Y = - 2 3 𝑥+4

Unit 5: Analytic Geometry Review Write the following in slope/y-intercept form: 12x – 9y = 3

Unit 5: Analytic Geometry Review Determine the x and y intercepts of the following linear equation: 4x – 5y + 20 = 0

Unit 5: Analytic Geometry Review Use the x and y intercepts to graph: 4x – 5y + 20 = 0

Unit 5: Analytic Geometry Review In the relation C = 60 + 15n C represents the total cost of holding an event at a hall, and n represents the number of guests. The maximum number of guests allowed in the hall is 100. What are the minimum and maximum possible values for C ?

Unit 5: Analytic Geometry Review Two different halls charge different amounts for a dinner party”   Boris’ Best Hall : C = 30n + 1000   Crackers’ Cool Hall: C = 50n + 500  

Unit 5: Analytic Geometry Review Also know: -Writing the equation of a line - Direct and Partial Variation - Point of Intersection - Word problems (explain the meaning of the slope and y-intercept)