### Practice 3-3: The Slope of a line

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dealing with The Slope of a line.

 1 What is the slope of the line passing through (2,4) and (-3,-6)? Choose one: 2 -2 1/2
 2 What is the slope of the line perpendicular to 2y = -6x – 10? Choose one: -3 3 1/3
 3 Given 3y – 4x = 5 and 4y + 6 = 3x. Are these lines parallel, perpendicular or neither? Choose one: perpendicular parallel neither
 4 Which of these equations represents a line parallel to the line 2x + y = 6? Choose one: y – 2x = 4 2x – y = 8 y + 2x = 1
 5 Find the equation of the line that has a slope of -2 and a y-intercept of -9. Choose one: 2x + y = -9 -2x – y = -9 2x – y = 9
 6 Find the slope of the line whose equation is y – 3x = 7. Choose one: -3 3 -1/3
 7 Which equation represents the line whose slope is 1 an whose y-intercept is 0? Choose one: y = x x = 1 x = -y
 8 Find k so that y – 3kx = 6 has slope m = -3/7 Choose one: -7 1/7 -1/7

### Practice 3-4: finding an equation of a line

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dealing with finding an equation of a line.

 1 what is the standard form of the equation of this line? Choose one: 2x + y = 5 2x + y = 11 2x + y = 1
 2 What is the equation of this line? Choose one: y – 5 = -1(x – 3) y = 3 x = 3
 3 What is the equation of this line? Choose one: y + 3 = 0 (x – 4) y = -4 y = 4
 4 What is the Standard Form of the equation of a straight line for this graph? Choose one: 2x + 3y = 15 2x – 3y = 15 3x – 2y = 10
 5 find an equation in standard form of the line that passes through the points (1, -4) and (3, 2)? Choose one: x – y = 5 2x – y = 4 3x – y = 7
 6 find an equation in standard form of the line: – parallel to the line y = -3x + 1 and passing through the point (-1, 2)? Choose one: 3x + y = -1 3x + y = -5 3x + y = 1
 7 find an equation in standard form of the line: – perpendicular to the line y = -(¼)x + 5 and – passing through the point (-6, 4)? Choose one: 4x – y = 28 4x + y = 28 4x – y = -28
 8 The slope-intercept form of the equation of a straight line is y = – (2/3)x + 7/3. What is the standard form of the equation? Choose one: 2x – 3y = 7 2x + 3y = 7 2x – 3y = -7

### Practice 7-1: Geometric Mean

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dealing with Geometric mean.

 1. Find x: Choose one: 4 6 9 Hint:Use the Altitude Rule.
 2. Find x. round to the nearest tenth: Choose one: 8 6.8 6.9 Hint:Use the Leg Rule.
 3. Find x. round to the nearest tenth: Choose one: 2.5 4.5 7.5 Hint:Use the Leg Rule.
 4. Find x. round to the nearest tenth: Choose one: 4.7 4.9 6.9 Hint:Use the Leg Rule.Be sure to use the entirehypotenuse = 8.
 5. Find x. round to the nearest tenth: Choose one: 25 7.2 1.6 Hint:Use the Leg Rule.Be sure to use the entirehypotenuse = 8.
 6. Find x and y. round to the nearest tenth: Choose a value for x: 8 10 15 Hint:For x, use the Altitude Rule.For y, use the Leg Rule. Be sure to usethe entire hypotenuse of 25 andthe projection of 20. Choose a value for y: 7.7 7.8 7.1
 7. Find x: Choose one: 9 6 4 Hint:Use the Altitude Rule.x/6 = 6/(x+5)36 = x² + 5xSet up for factoring or quadratic formula. 0 = x² + 5x – 360 = (x + 9) (x – 4)x = -9; x = 4Answer: x = 4
 8. Find CD. round to the nearest tenth: Choose one: 4.6 6.5 2.5 Hint:This is a two part problem. You must find x first togain information to be used to solve for CD.Use the Leg Rule to find x.x/10 = 10/(x+21)When solved, x = 4.Now use the Altitude Rule to find CD.21/CD = CD/4