Name _________________________________ Date ___________ Block ____ Log # ____
Linear Equations – Putting It All Together
1) Plot the ordered pairs (1,2) & (3,6) on the coordinate axes below.
y
As x is increasing by _____,
y is_______________ by ______.
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
The slope of the line is
_____________________.
(positive or negative)
1 2 3 4 5 6
x
Slope =
change in y

change in x

Use the slope to plot two
additional points on the line.
Use a straight edge to draw the
line that represents all the
solutions to the linear equation.
Write the linear equation represented by the line.
y = _______________
Name an ordered pair from
your graph ( ___, ____)
Name an ordered pair from
your graph ( ___, ____)
Substitute the x-coordinate
into your equation. Do you
end up with the y-coordinate?
Substitute the x-coordinate
into your equation. Do you
end up with the y-coordinate?
2) Plot the ordered pairs (-2, -6) & (-1, -3) on the coordinate axes below.
y
As x is increasing by _____,
y is_______________ by ______.
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
The slope of the line is _______________
(positive or negative)
Slope =
1 2 3 4 5 6
x
change in y

change in x

Use the slope to plot two additional points
on the line.
Use a straight edge to draw the line that
represents all the solutions to the linear
equation.
Write the linear equation represented by the line.
y = _______________
Name an ordered pair from your graph, other than the two given ordered pairs. ______
Substitute the x-coordinate into your equation. Do you end up with the y-coordinate? _____
3) Plot the ordered pairs (-6,4) & (-3,2) on the coordinate axes below.
y
As x is increasing by _____,
y is_______________ by ______.
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
The slope of the line is _______________
(positive or negative)
Slope =
1 2 3 4 5 6
x
Write the linear equation represented by the line.
change in y

change in x

Use the slope to plot two additional points
on the line.
Use a straight edge to draw the line that
represents all the solutions to the linear
equation.
y = _______________
Name an ordered pair from your graph, other than the two given ordered pairs. ______
Substitute the x-coordinate into your equation. Do you end up with the y-coordinate? _____
4) Plot the ordered pairs (-2,2) & (2,4) on the coordinate axes below.
y
As x is increasing by _____,
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
y is_______________ by ______.
The slope of the line is _______________
(positive or negative)
1 2 3 4 5 6
x
Slope =
change in y

change in x

Use the slope to plot two additional points
on the line.
Use a straight edge to draw the line that
represents all the solutions to the linear
equation.
At what value does the line cross the
y-axis? ________
Write the linear equation the line represents
y = _______________
This value is known as the y-intercept.
What ordered pair names the y-intercept?
(_____, _____)
Name an ordered pair from
your graph ( ___, ____)
Substitute the x-coordinate
into your equation. Do you
end up with the y-coordinate?
Name an ordered pair from
your graph ( ___, ____)
Name an ordered pair from
your graph ( ___, ____)
Substitute the x-coordinate
into your equation. Do you
end up with the y-coordinate?
Substitute the x-coordinate
into your equation. Do you
end up with the y-coordinate?
5) Plot the ordered pairs (-2,5) & (1,-1) on the coordinate axes below.
y
As x is increasing by _____,
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
y is_______________ by ______.
The slope of the line is _______________
(positive or negative)
1 2 3 4 5 6
x
Slope =
change in y

change in x

Use the slope to plot two additional points
on the line.
Use a straight edge to draw the line that
represents all the solutions to the linear
equation.
At what value does the line cross the
y-axis? ________
Write the linear equation the line represents
y = _______________
This value is known as the y-intercept.
What ordered pair names the y-intercept?
(_____, _____)
Name an ordered pair from
your graph ( ___, ____)
Substitute the x-coordinate
into your equation. Do you
end up with the y-coordinate?
Why do you think this point is called the
y-intercept? ________________________
_________________________________
_________________________________
Name an ordered pair from
your graph ( ___, ____)
Name an ordered pair from
your graph ( ___, ____)
Substitute the x-coordinate
into your equation. Do you
end up with the y-coordinate?
Substitute the x-coordinate
into your equation. Do you
end up with the y-coordinate?