Lines, Slopes, Equations

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Presentation transcript:

Lines, Slopes, Equations Writing Equations in Slope-Intercept Form Slope-Intercept Form A linear equation in the form y = mx + b, where m is the slope, and b is the y-intercept Write the equation in slope-intercept form. Find the slope and the y-intercept.

Writing Equations in Slope-Intercept Form A linear equation in the form y = mx + b, where m is the slope, and b is the y-intercept Write the equation in slope-intercept form. Find the slope and the y-intercept.

Writing Equations in Slope-Intercept Form A linear equation in the form y = mx + b, where m is the slope, and b is the y-intercept Write the equation in slope-intercept form. Find the slope and the y-intercept.

LINES could be Parallel, Perpendicular, or Neither Parallel Lines Two non-vertical lines that have the same slope. 1) y= - 3x 2) x + y – 5 =0 3) 3x + y = 5 7. Which two lines in Exercises 1 – 3 are parallel? Lines 1 and 3 both have a slope of –3, so they are parallel. LINES could be Parallel, Perpendicular, or Neither

Perpendicular Lines’ slopes are Opposite Reciprocals Of each other Examples of Opposite Reciprocals: 3 and -1/3; ¾ and - 4/3; 1/5 and - 5; 0.1 and - 10 0 (ZERO) and undefined Slope – HORIZONTAL and VERTICAL lines

Graphing LINES Using Slope and y-Intercept Write the equation in slope-intercept form. Then graph the equation. Right 1 Up 6

Graphing LINES Using Slope and y-Intercept Write the equation in slope-intercept form. Then graph the equation. Down 1 Right 3

Graphing LINES Using Slope and y-Intercept Write the equation in slope-intercept form. Then graph the equation. Down 5 Right 1

Graphing LINES Using Slope and y-Intercept Write the equation in slope-intercept form. Then graph the equation. Down 1 Right 3

Graphing LINES Using Slope and y-Intercept Write the equation in slope-intercept form. Then graph the equation. Down 2 Right 1

Graphing LINES Using Slope and y-Intercept Write the equation in slope-intercept form. Then graph the equation. Down 1 Right 2

Find the slope and y-intercept of the equation? Using Slope-Intercept Form to Solve a Real-Life Problem 14. During the summer you work for a lawn care service. You are paid $4 per day, and an hourly wage of $1.75. Using w to represent daily wages and h to represent the number of hours worked daily, write an equation that models your total wages for one day’s work. Find the slope and y-intercept of the equation? What does the slope represent?

Graph the equation using the slope and y-intercept. Using Slope-Intercept Form to Solve a Real-Life Problem 14. During the summer you work for a lawn care service. You are paid $4 per day, plus an hourly wage of $1.75. Graph the equation using the slope and y-intercept. Right 1 Up 1.75

Find the slope and y-intercept of the equation? Using Slope-Intercept Form to Solve a Real-Life Problem 15. During the summer you work for a lawn care service. You are paid $6 per day, plus an hourly wage of $1.25. Using w to represent daily wages and h to represent the number of hours worked daily, write an equation that models your total wages for one day’s work. Find the slope and y-intercept of the equation? What does the slope represent?

Graph the equation using the slope and y-intercept. Using Slope-Intercept Form to Solve a Real-Life Problem 15. During the summer you work for a lawn care service. You are paid $6 per day, and an hourly wage of $1.25. Graph the equation using the slope and y-intercept. Right 1 Up 1.25