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Equations of Lines - Intermediate Algebra - Assignment, Exercises of Algebra

Its the important key points of assignment of Intermediate Algebra are:Equations of Lines, First Degree Equations and Inequalities, Expressions and Formulas, Linear Functions, Systems of Equations, Quadratic Functions and Inequalities, Polynomial Functions, Conic Sections, Rational Expressions and Equations

Typology: Exercises

2012/2013

Uploaded on 01/07/2013

tahir
tahir 🇮🇳

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Intermediate Algebra Name _____________________________
Finding Equations of Lines
Finding equations from graphs:
steps:
1. Find the y-intercept. (0, b)
2. Find the slope.
3. Plug into slope-intercept
formula
bmxy
.
4. Put into function notation by
replacing y with f(x).
bmxxf )(
Ex 1:
Slope: down 1, right 1
m = -1
y-int: (0, 5), so b=5
Therefore,
5 xy
5)( xxf
Ex 2:
Slope: up 1, right 2
m = ½
y-int: (0, 2), so b=2
Therefore,
2
2
1 xy
You try: Find the equations of each line.
_________________ _________________ _________________ __________________
Finding Equations given a point and a slope:
steps:
1. Plug the point
),( 11 yx
and the slope, m, that
was given into the point-slope formula
)( 11 xxmyy
.
2. Solve for y to get into slope intercept form:
bmxy
.
3. Put into function notation by replacing y with f(x).
bmxxf )(
Ex: Write an equation for a line with slope,
2
1
m
, and goes through the point (8, -2).
x
y
x
y
x
y
x
y
(0, 3)
(-7,0)
(0,-4)
(10,0)
(0,6)
(-3,0)
run
rise
m
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Download Equations of Lines - Intermediate Algebra - Assignment and more Exercises Algebra in PDF only on Docsity!

Intermediate Algebra Name _____________________________

Finding Equations of Lines

Finding equations from graphs: steps:

  1. Find the y -intercept. (0, b)
  2. Find the slope.
  3. Plug into slope-intercept formula ymxb.
  4. Put into function notation by replacing y with f ( x ). f ( x ) mxb

Ex 1: Slope: down 1, right 1 m = - 1 y - int: (0, 5), so b= Therefore, y   x  5 f ( x )  x  5

Ex 2 : Slope: up 1, right 2 m = ½ y - int: (0, 2), so b= Therefore, 2 2

1 yx

2 2

1 f ( x ) x

You try: Find the equations of each line.

_________________ _________________ _________________ __________________

Finding Equations given a point and a slope: steps:

  1. Plug the point ( x 1 , y 1 )and the slope, m , that was given into the point-slope formula yy 1  m ( xx 1 ).
  2. Solve for y to get into slope intercept form: ymxb.
  3. Put into function notation by replacing y with f ( x ). f ( x ) mxb

Ex: Write an equation for a line with slope,

m  , and goes through the point (8, -2).

x

y

x

y

x

y

x

y

run

rise m

  1. Write an equation for the line with slope, 5

m^  ,

and it goes through the point (-10, -2).

  1. Write an equation for the line with slope,

m   , and goes through the point (-8, 0).

  1. Write an equation for the line with slope, m  0 , and goes through the point (5, -4). 4. Write an equation for the line with slope, mundefined , and goes through the point (2, 7).

Finding Equations given 2 points: steps:

  1. Calculate the slope. 2 1

2 1 x x

y y m

  1. Use the slope, m , and choose either point to plug into the point-slope formula yy 1  m ( xx 1 ).
  2. Solve for y to get into slope intercept form: ymxb.
  3. Put into function notation by replacing y with f ( x ). f ( x ) mxb

Ex: Write an equation for a line that goes through the points (4, -3) and (-6, 2).

  1. Write an equation for the line that goes through the point (6, -1) and parallel to the graph of 2 x  3 y  12. 2. Write an equation for the line that goes through the point (-2, 2) and perpendicular to the graph of 4 x  2 y  6.
  2. Write an equation for the line that goes through the point (-4, 5) and perpendicular to the graph of 3 y  15. 4. Write an equation for the line that goes through the point (3, -7) and parallel to the graph of x  2.
  3. Write an equation for the line that goes through the point (2, 3) and parallel to the line that goes through the points (2, 8) and (4, 0). 6. Write an equation for the line that goes through the point (6, 9) and perpendicular to the line that goes through the points (0, -2) and (-5, 8).