write linear equations in slope- intercept form december 2, 2013 pages 283-285
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WRITE LINEAR EQUATIONS IN SLOPE-INTERCEPT FORM
December 2, 2013
Pages 283-285
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y-interceptANSWER
slopeANSWER
Copy and complete the statement.
?In the equation y = mx + b, the value of m is theof the graph of the equation.
1.
?In the equation y = mx + b, the value of b is theof the graph of the equation.
2.
parallelANSWER
3.
?Two lines are if their slopes are equal.
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Find the slope of the line that passes through the points.
ANSWER 3 4
4. (4, 5), (2, 3) ANSWER 1
5. (0, – 6), (8, 0)
6. (0, 0), (– 1, 2) ANSWER – 2
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Identify the slope and the y-intercept of the line with the equation.
7. y = x + 1
8. y = x – 6 3 4
3 4
, –6ANSWER
1, 1ANSWER
9. y = – 25
x– 2 25
,– 2ANSWER –
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Evaluate the function when x = – 2, 0, and 4.
10. f(x) = x – 10
11. f(x) = 2x + 4
12. f(x) = – 5x – 7
0, 4, 12ANSWER
3, – 7, – 27ANSWER
– 12, – 10, – 6ANSWER
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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 for m and = for b.
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14. Which equation represents the line shown?
The line crosses the y-axis at (0, 3). So, the y-intercept is 3.
y = mx + b Write slope-intercept form.
2y = – x + 35
2Substitute – for m and 3 for b.5
= = –The slope of the line is riserun
–2 5
25
.
A y = – x + 325 B y = – x + 35
2
C y = – x + 125 D y = 3x +
25
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15. Write an equation of the line shown in slope-intercept form.
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y = mx + b
y = x – 543
Substitute for m and 5 for b.43
–
STEP 1
Write an equation of the line. The line crosses the y-axis at (0, – 5). So, the y-intercept is – 5.
SOLUTION
x2 – x1 33 – 0y2 – y1=m =
– 1 – (– 5)=
4
Write slope-intercept form.
Calculate the slope.
STEP 2
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SOLUTION
16. Write an equation for the linear function f with the values f(0) = 5 and f(4) = 17.
Calculate the slope of the line that passes through (0, 5) and (4, 17).
Write f(0) = 5 as (0, 5) and f (4) = 17 as (4, 17).STEP 1
x2 – x1 4 – 0y2 – y1=m =
17 – 5= 4
12=3
STEP 2
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y = mx + b Write slope-intercept form.
y = 3x + 5 Substitute 3 for m and 5 for b.
Write an equation of the line. The line crosses the y-axis at (0, 5). So, the y-intercept is 5.
STEP 3
ANSWER
The function is f(x) = 3x + 5.
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HOMEWORKChapter 5, section 1
Pages 286-289
#4-14, even
#18-38, even
#53-54, all