Today: Collect p291 Assignment Return Quiz 5.5 Instruction Practice No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille Algebra 1

Assignment: 5.3 p288 #19-37 odd, 46, 47, 51, 52 MidTerm Progress Report Signature Goal Evaluation Quiz Tomorrow No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille Algebra 1

Assignment: 5.3 p288 #3-19 odd, 21-35, 46, 47, 51, 52 MidTerm Progress Report Signature Goal Evaluation Quiz Tomorrow No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille Algebra 1

CHECK UP Find the equations of the lines. Use slope-intercept form A sports camp charges a registration fee and a daily amount. If a total bill for 12 days is $338 and for 19 days a bill is $506, find the equation that determines the charges for this camp. How much would 30 days cost?

5.1-3 Quiz

Objectives: 1.Use point-slope form to write equations of lines 2.Use point-slope form to model real world problems Vocabulary: point-slope form Point-Slope Form of a Linear Equation 5.5

Slope-Intercept form –Used to graph a line –Used to find equations of lines Point-Slope form –Used to find equations of lines Point-Slope Form of a Linear Equation 5.5 y = mx + b slope point (x 1, y 1 ) y - y 1 =m(x - x 1 ) y1y1 x1x1 m

How to use Point-Slope form: 1.find slope, m, and a point (x 1, y 1 ) 2.plug values into the equation 3.distribute and add (slope-intercept form) y - y 1 = m(x - x 1 ) Find the equations of the lines: through (-10,-9) and (5,0) through (-3,4) and (-3,11) Example 1 Writing an Equation of a Line

Example 2 Writing an Equation of a Line from a Graph Write the equation of the line shown in the graph using point-slope form

What do we need to find the equation of a line? –slope and a point How do we find slope? 1.2 points 2.Parallel to another line (same slope) 3.Perpendicular to another line (opposite reciprocal slope) Point-Slope Form of a Linear Equation 5.5

Example 3 Writing an Equation of Perpendicular Lines Write the equation of the line that is parallel to the line y = -3x – 2 and passes through the point (3, -4)

Example 4 Real Life Linear Models A crate can hold up to 30 oranges. The crate with 16 oranges weighs 8.8 lb. Assuming that each orange weighs about.4 lb, write a linear model to represent the weight of a crate of x oranges. y =.4x How much will a full crate weigh? 14.4 lb

Example 4 Real Life Linear Models The base rent on a 5000 sq ft retail space is $40,000 per year. For larger spaces, any increase of 50 ft 2 above the 5,000 ft 2 results in an additional $300 per year in rent. Use the informatino to write a linear model for rent. y = 6x + 10,000 Use the model to find the rent on a 6400 ft 2 retail space. $48,400

Example 4 Real Life Linear Models The best temperature for running is below 60°F. If a person ran optimally at 17.6 ft/sec, he or she would slow by about.3 feet per second for every 5° increase in temperature above 60°F. Write an equation of this linear model. y = -.6x What is the running pace at a temperature of 80°F ft/sec

What do we use slope-intercept form for? –Graphing a line –Finding the equation of a line What is point-slope form for? ─Find the equation of a line What do you need to find the equation of a line? ─Slope and a Point Assignment: 5.5 p303 #3-17 odd, … 5.5

Assignment: 5.5 p303 #3-17 odd, 21-37, 48, odd, Chapter 5 Test on Tuesday No trumpets sound when the important decisions of our life are made. Destiny is made known silently. Agnes DeMille Algebra 1

1.textbook 2.pencil 3.binder w/dividers 4.paper 5.graph paper 6.calculator 7.colored pencils