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WRITE LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM

WRITE LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM. December 2, 2013 Pages 283-285. Two lines are if their slopes are equal. 3. ?. ?. ?. In the equation y = mx + b , the value of m is the of the graph of the equation. 1. parallel. ANSWER. slope. ANSWER.

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WRITE LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM

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  1. WRITE LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM December 2, 2013 Pages 283-285

  2. Two lines are if their slopes are equal. 3. ? ? ? In the equation y = mx + b, the value of m is theof the graph of the equation. 1. parallel ANSWER slope ANSWER In the equation y = mx + b, the value of b is theof the graph of the equation. 2. y-intercept ANSWER Copy and complete the statement.

  3. 3 4 (4, 5), (2, 3) 4. 1 ANSWER 5. (0, – 6), (8, 0) ANSWER 6. (0, 0), (– 1, 2) ANSWER – 2 Find the slope of the line that passes through the points.

  4. 3 3 4 4 7. y = x + 1 1, 1 ANSWER , –6 8. y = x – 6 ANSWER 2 2 ,– 2 x– 2 5 5 – 9. y = – ANSWER Identify the slope and the y-intercept of the line with the equation.

  5. 10. f(x) = x – 10 – 12, – 10, – 6 ANSWER 0, 4, 12 ANSWER 3, – 7, – 27 ANSWER Evaluate the function when x = – 2, 0, and 4. 11. f(x) = 2x + 4 12. f(x) = – 5x – 7

  6. 13. Write an equation of the line with a slope of – 2 and a y -intercept of 5. y = mx + b Write slope-intercept form. y = – 2x + 5 Substitute – 2 form and = for b.

  7. y =–x+ 3 y =–x+ 3 y =–x+ 1 y =3x + D A C B 2 2 5 2 2 –2 5 2 5 5 The slope of the line is . – = = 5 rise 5 run 2 2 y= – x+3 Substitute– for mand3forb. 5 5 14. Which equation represents the line shown? The line crosses they-axisat(0, 3).So, they-intercept is3. y = mx + b Write slope-intercept form.

  8. Write an equation of the line shown in • slope-intercept form.

  9. y2 – y1 – 1 – (– 5) 4 m = = = x2 – x1 3 – 0 3 Substitute for mand 5for b. – 4 4 y = x – 5 3 3 SOLUTION STEP 1 Calculate the slope. STEP 2 Write an equation of the line. The line crosses the y-axis at (0, – 5). So, the y-intercept is – 5. y = mx + b Write slope-intercept form.

  10. y2 – y1 17 – 5 12 m 3 = = = = x2 – x1 4 – 0 4 16. Write an equation for the linear function fwith the values f(0) = 5 andf(4) = 17. SOLUTION STEP1 Write f(0) = 5 as (0, 5) and f (4)= 17 as (4, 17). STEP2 Calculate the slope of the line that passes through(0, 5) and (4, 17).

  11. ANSWER The function isf(x) = 3x +5. STEP3 Write an equation of the line. The linecrosses they-axis at(0, 5).So, they-intercept is5. y = mx + b Write slope-intercept form. y =3x + 5 Substitute 3 for mand 5 for b.

  12. HOMEWORK Chapter 5, section 1 Pages 286-289 #4-14, even #18-38, even #53-54, all

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