Slope-Intercept Point-Slope
Standard Form
Form
Form
Linear Models Writing
And
Equations
Best Fit Lines w/Two Points
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5pt
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5 pt
Write an equation of the line
in slope-intercept form.
The slope is -5; the y-intercept is 7.
Write an equation of the line
in slope-intercept form.
The slope is -5; the y-intercept is 7.
WHAT IS y = -5x + 7?
Write an equation of the line
in slope-intercept form.
The slope is 10; the y-intercept is -3.
Write an equation of the line
in slope-intercept form.
The slope is 10; the y-intercept is -3.
WHAT IS y = 10x - 3?
Write an equation of the line
in slope-intercept form.
The slope is -1/2; the y-intercept is -9.
Write an equation of the line
in slope-intercept form.
The slope is -1/2; the y-intercept is -9.
WHAT IS y = -1/2x - 9?
Write an equation in slope-intercept
form of the line that passes through the
given points.
(-2, -1) (3, 5)
Write an equation in slope-intercept form of the
line that passes through the given points.
5  (1) 6 (-2, -1) (3, 5)
m

3  (2) 5
6
y  (1)  ( x   2)
5
6
6
y  1  x  (2)
5
5
6
12
WHAT
y 1  x 
5
5
-5
1
-1=
5
6
7
y  x
5
5
IS
6
7
y  x
5
5
?
Write an equation of the line that is
PARALLEL to the given line and goes
through the given point. Write the final
equation in slope-intercept form.
y = -3x + 4, (4, 2)
Write an equation of the line that is
PARALLEL to the given line and has the
given slope. Write the final equation in
slope-intercept form.
y = -3x + 4, (4, 2)
Y - 2 = -3(x - 4)
Y - 2 = -3x + 12
+2
+2
WHAT IS y = -3x + 14?
Write an equation of the line.
1 0 1
m


1

0 1 1

y  0  1( x  1)
y  1  1( x  0)
WHAT IS y = x + 1?
Write an equation of the line.
4 1 3
m

42 2
3
y  4  ( x  4) or
2
3
y  1  ( x  2)
2
WHAT IS y -4 = 3/2(x – 4)
or y - 1= 3/2(x - 2)?
Write an equation in point-slope form
of the line that passes through
the given points.
(-2, 0) (0, 8)
Write an equation in point-slope form
of the line that passes through
the given points.
(-2, 0) (0, 8)
80 8
m


4

0 2 2

y  0  4( x  2)
y  0  4( x  2)
WHAT IS y - 0 = 4(x + 2)?
Write an equation in point-slope form
of the line that passes through
the given points.
(-3, -4) (3, 4)
Write an equation in point-slope form
of the line that passes through
the given points.
(-3, -4) (3, 4)

4 4 8 4
m
 

3 3 6 3
4

y  4  ( x  3)
3
4
y  4  ( x  3)
3

WHAT IS y + 4 = 4/3(x + 3)?
Write an equation in point-slope form
of the line that passes through
the given points.
(-5, -4) (7, -5)
Write an equation in point-slope form
of the line that passes through
the given points.
(-5, -4) (7, -5)

5  4 1
m


7  5 12
1

y  4  ( x  5)
12
1
y  4  ( x  5)
12

WHAT IS y + 4= -1/12(x + 5)?
Write an equation in standard form
of the line with integer coefficients.
5x – y + 6 = 0
Write an equation in standard form
of the line with integer coefficients.
5x – y + 6 = 0
5x - y = -6
WHAT IS 5x – y = -6?
Write an equation in standard form
of the line with integer coefficients.
y = -3x + 9
Write an equation in standard form
of the line with integer coefficients.
y = -3x + 9
+3x +3x
3x + y = 9
WHAT IS 3x + y = 9?
Write the equations in standard form of
the horizontal and vertical lines.
WHAT IS x = 3 and y = 3?
Write the equations in standard form of
the horizontal and vertical lines.
WHAT IS x = -1 and y = 2?
Write the equations in standard form
with integer coefficients
3
1
2y  x 
10
2
3
1
10  (2 y )  ( x  ) 10
10
2
3
1
20 y  (10) x  (10)
10
2
20 y  3 x  5
20 y
-20y
0=3x-20y+5
-5
-5
-5=3x-20y
WHAT IS 3x - 20y = -5?
Tell whether it is reasonable for the graph to be
represented as a linear model and EXPLAIN why!
Also tell whether it would have a positive
correlation, a negative correlation or no correlation.
WHAT IS NO?
All of the points would not be close to one
line of best fit.
Tell whether it is reasonable for the graph to be
represented as a linear model and EXPLAIN why!
Also tell whether it would have a positive
correlation, a negative correlation or no correlation.
WHAT IS YES?
All of the points would be close to
one line of best fit.
Draw a line of best-fit for the
scatter plot. Write an equation of
your line
WHAT IS Y = 3x – 4?
On your calculator, draw a scatter plot of
your data as well as a line of best-fit.
1.) State whether it is a positive
correlation, negative correlation or no
correlation.
2.) If it is a linear model, give the linear
regression equation.
X
-2
-1
0
1
Y
5
1
-3
-7
X
-2
-1
0
1
Y
5
1
-3
-7
WHAT IS Negative Correlation
and y = -4x – 3?
Make a scatter plot on the graph below first,
then use your calculator to fit a line to the data.
For L1 – make x = to the years since 1994,
so 1994=0, 1995=1, and so on.
L2 should be the profit as read in the table.
1.) Use your calculator to write a linear model for the
amount of profit.
2.) Use the linear model to estimate the total profit in 2002
and 2006
WHAT IS y = 1600x+248000?
2002 = $376,000
2006 = $440,000
Write an equation of the line that
passes through the given points.
(-3, 6) (1, -2)
Write an equation of the line that
passes through the given points.
(-3, 6) (1, -2)

y  6  2( x  3)
2  6 8
m

 2

1 3
4
y  6  2 x  (2)(3)
y  6  2 x  6
+6
y=-2x
WHAT IS y = -2x?
+6
Write an equation of the line that
passes through the given points.
(1, 3) (2, 7)
Write an equation of the line that
passes through the given points.
(1, 3) (2, 7)
73 4
m
 4
2 1 1
y  3  4( x  1)
y  3  4x  4
y  3  4x  4
+3
WHAT IS y = 4x - 1?
y=4x-1
+3
Write an equation of the line that
passes through the given points.
(3, 1) (4, -3)
Write an equation of the line that
passes through the given points.
(3, 1) (4, -3)
1 3 4
m

 4
3  4 1
y  1  4( x  3)
y  1  4 x  12
+1
y=-4x+13
WHAT IS y = -4x + 13?
+1
Write an equation of the line that
passes through the given points.
(-8, 2) (-6, 3)
Write an equation of the line that
passes through the given points.
(-8, 2) (-6, 3)
1

3 2
1
m


6  8 2
WHAT IS y = 1/2x + 6?
y  2  ( x  8)
2
1
1
y  2  x  (8)
2
2
1
y2 x4
2
+2
+2
1
y= x+6
2
Write an equation of the line that
passes through the given points.
(2,5)(5,7)
Write an equation of the line in STANDARD
ORM with integer coefficients that passes through
the given points.
2
(2,5)(5,7) y  5  ( x  2)
3
2
2
y  5  x  (2)
3
3
75 2
m

2
4
52 3
3  ( y  5)  ( x  )  3
3
3
3 y  15  2 x  4
WHAT IS 2x-3y=-11? 3 y  4
-11=2x-3y
+4 -3y