Objective  SWBAT review for Chapter 5 TEST.

Section 5.1 & 5.2 “Write Equations in Slope-Intercept Form” SLOPE-INTERCEPT FORM- a linear equation written in the form y = mx + b slopey-intercept y-coordinatex-coordinate

Section 5.3 “Write Linear Equations in Point-Slope Form” POINT-SLOPE FORM- of a linear equation is written as: slope y-coordinate point 1 x-coordinate point 1 y x run rise

Section 5.4 “Write Linear Equations in Standard Form” The STANDARD FORM of a linear equation is represented as Ax + By = C where A, B, and C are real numbers

Section 5.5 “Write Equations of Parallel and Perpendicular Lines” PARALLEL LINES –If two nonvertical lines in the same plane have the same slope, then they are parallel. –If two nonvertical lines in the same plane are parallel, then they have the same slope.

Write an equation of the line that passes through (–2,11) and is parallel to the line y = -x + 5. STEP 1 Identify the slope. The graph of the given equation has a slope of -1. So, the parallel line through (– 2, 11) has a slope of -1. STEP 2 Find the y- intercept. Use the slope and the given point. y = mx + b 11 = -1(–2) + b 9 = b Write slope-intercept form. Substitute -1 for m, - 2 for x, and 11 for y. Solve for b. STEP 3 Write an equation. Use y = mx + b. y = -x + 9 Substitute -1 for m and 9 for b.

Section 5.5 “Write Equations of Parallel and Perpendicular Lines” PERPENDICULAR LINES PERPENDICULAR LINES –If two nonvertical lines in the same plane have slopes that are negative reciprocals, then the lines are perpendicular. –If two nonvertical lines in the same plane are perpendicular, then their slopes are negative reciprocals ½ and -2 are negative reciprocals. 3 and -1/3 are negative reciprocals.

Determine which lines, if any, are parallel or perpendicular. Line a: y = 5x – 3 Line b: x +5y = 2 Line c: –10y – 2x = 0 Find the slopes of the lines. Write the equations for lines a, b, and c in slope-intercept form. Line b: x + 5y = 2 5y = – x + 2 Line c: – 10y – 2x = 0 – 10y = 2x y = – x15 x – Line a: y = 5x – 3 Lines b and c have slopes of –1/5, so they are parallel. Line a has a slope of 5, the negative reciprocal of –1/5, so it is perpendicular to lines b and c.

Section 5.6 “Fit a Line to Data” a graph used to determine whether there is a relationship between paired data. Scatter Plot y x

Scatter plots can show trends (patterns) in the data. y x y x y x Positive correlation Negative correlation Relatively no correlation As y tends to increase, x tends to increase. As y tends to decrease, x tends to increase. x and y have no apparent relationship.

Section 5.7 “Predict with Linear Models” line that most closely follows the trend of the data. Best-Fitting Line y x

Linear Interpolation Using a line or its equation to approximate a value BETWEEN two known values years height of tree Linear Extrapolation Using a line or its equation to approximate a value OUTSIDE the range of known values years height of tree

Zero of a Function A zero of a function is an x-value for which f(x) = 0. Because f(x) is the same as y, and y = 0 along the x-axis of the coordinate plane, a zero of a function is an x-intercept of the function’s graph. Find the zero of the function. f(x) = 3x – 15 0 = 3x – = = 3x 3 = 3 5 = x The zero of f(x) = 3x -15 is 5.

B-I-N-G-O Complete the Chapter 5 Review on page in the text. Complete #1-22 all. Complete the Chapter 5 Review on page in the text. Complete #1-22 all. Using your correct answers we will play BINGO for BONUS points!!! 23). Write an equation in slope-intercept form that passes through (0,2) and (9,5). 24). Write an equation in standard form that passes through (-5,-2) and (-4,3). 23). y = 1/3x ). –x + y = 7

Bingo  1) negative  2) extrapolation  3) x-intercept  4) y = 3x – 10  5) y = 4/9x + 5  6) y = -2/11x + 7  7) y = -1.25x + 25; $22.50  8) y = 4x + 11  9) y = x + 3  10) y = -3x + 20  11) y – 7 = -6(x – 4)  12) y + 2 = -1/3(x + 3)  13) y + 2 = -6/11(x – 8)  14) y – 100 = -7/10(x – 25); 54.5 miles  15) 4x + y = -1  16) -3x + y = -2  17) 0.07x y =5;  18) (a) y = -4x + 2; (b) y = 1/4x + 2 (b) y = 1/4x + 2  19) (a) y = -2x + 1; (b) y = 1/2x – 4 (b) y = 1/2x – 4  20) (a) y = 3/4x – 4½; (b) y = -4/3x + 8 (b) y = -4/3x + 8  21) positive correlation  22) about 5.75 hours