12-5 Practice B.pdf - MrWalkerHomework
12-5 Practice B.pdf - MrWalkerHomework
12-5 Practice B.pdf - MrWalkerHomework
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Name Date Class<br />
LESSON<br />
<strong>12</strong>-5<br />
<strong>Practice</strong> B<br />
Slope<br />
Tell the slope and y-intercept of each line, given its graph.<br />
1. y<br />
2.<br />
4<br />
2<br />
4<br />
2<br />
O 2 4<br />
2<br />
(1, 3)<br />
(2, 2)<br />
(3, 1)<br />
x<br />
4<br />
2<br />
4<br />
2<br />
O 2 4<br />
2<br />
y<br />
(0, 2)<br />
(3, 2)<br />
x<br />
4<br />
4<br />
Tell the slope and y-intercept, given the equation.<br />
3. y 2x 3 4. y 1 3 x 5 5. y 4x<br />
6. y 4x 1 7. y x 4 8. y 2x 8<br />
Graph each line, given the equation.<br />
9. y 1 2 x 5 10. y 4<br />
y<br />
y<br />
4<br />
4<br />
2<br />
2 O<br />
2<br />
2 4<br />
x<br />
4<br />
2<br />
4<br />
2<br />
O 2 4<br />
2<br />
4<br />
x<br />
Copyright © by Holt, Rinehart and Winston.<br />
46 Holt Middle School Math Course 2<br />
All rights reserved.
LESSON<br />
<strong>12</strong>-5<br />
<strong>Practice</strong> B<br />
Slope<br />
Tell the slope and y-intercept of each line, given its graph.<br />
1. y<br />
2.<br />
1, 4<br />
Tell the slope and y-intercept, given the equation.<br />
3. y 2x 3 4. y 1 x 5 5. y 4x<br />
3<br />
2, 3<br />
6. y 4x 1 7. y x 4 8. y 2x 8<br />
4, 1<br />
4<br />
2<br />
4 2 O 2 4<br />
2<br />
4<br />
(1, 3)<br />
(2, 2)<br />
(3, 1)<br />
x<br />
1 , 5<br />
3<br />
1, 4<br />
4 , 2<br />
3<br />
4<br />
2<br />
2 (0, 2)<br />
4<br />
(3, 2)<br />
x<br />
4 2 O 2 4<br />
y<br />
4, 0<br />
2, 8<br />
LESSON<br />
<strong>12</strong>-5<br />
<strong>Practice</strong> C<br />
Slope<br />
Graph and label each pair of points. Draw the line. Find the<br />
slope and y-intercept.<br />
1 1. A(0, 5); B(4, 4) 4 , 5<br />
2. X(1, 3); Y(2, 3)<br />
Tell the slope and y-intercept, given the equation.<br />
3. y 2x 4. y 3 2 x 2 5. y 1 4 x 5<br />
2, 0<br />
4<br />
2<br />
4 2 O 2 4<br />
2<br />
y<br />
A (0, 5)<br />
B(4, 4)<br />
x<br />
3 2 , 2<br />
Graph each line, given the equation. Solve for y when needed.<br />
6. y 1 x 4 7. 3x 2y 4<br />
3<br />
4<br />
2<br />
4 2 O 2 4<br />
2<br />
4<br />
y<br />
2, 1<br />
Y (2, 3)<br />
X (1, 3)<br />
x<br />
1 , 5<br />
4<br />
Graph each line, given the equation.<br />
y<br />
y<br />
9. y 1 2 x 5 10. y 4 x<br />
4<br />
y<br />
4<br />
2<br />
2 O<br />
2<br />
2 4<br />
x<br />
4<br />
4<br />
2<br />
y<br />
2 O 2 4<br />
2<br />
4<br />
4<br />
2<br />
4 2 O 2 4<br />
2<br />
x<br />
Tell the slope of each line containing the following pairs<br />
of points.<br />
8. (7, 1), (5, 3) 2 9. (4, 2), (1, 3) 1 10. (3, 7), (1, 1) 4<br />
2<br />
4 2 O 2 4<br />
2<br />
4<br />
x<br />
Copyright © by Holt, Rinehart and Winston.<br />
46 Holt Middle School Math Course 2<br />
All rights reserved.<br />
Copyright © by Holt, Rinehart and Winston.<br />
47 Holt Middle School Math Course 2<br />
All rights reserved.<br />
LESSON<br />
<strong>12</strong>-5<br />
Reteach<br />
Slope<br />
The slope of a line is a ratio that measures<br />
the steepness of that line. The sign of the<br />
slope tells whether the line is rising or falling.<br />
You can find the slope of a line by<br />
comparing any two points on that line.<br />
Find the slope of the line between<br />
(2, 1) and (4, 4).<br />
slope r ise<br />
up () or down ()<br />
<br />
run<br />
right () or left ()<br />
<br />
Use the graph to complete the statements.<br />
1. You have to move up 3 and right 2 to go from one point to the other.<br />
slope r ise<br />
up () or down ()<br />
3 run<br />
right () or left () 2 <br />
3<br />
2. The slope of the line is 2 <br />
.<br />
You can find the y-intercept of a line by locating the point where it<br />
crosses the y-axis. The y-intercept is the y-coordinate of that point.<br />
3. The line crosses the y-axis at the point ( 0, 2 ). The y-intercept is 2 .<br />
Tell the slope and y-intercept of each line given its graph.<br />
4. y<br />
5.<br />
4<br />
2<br />
(0, 1)<br />
4 2 O 2 4<br />
2<br />
4<br />
4 1<br />
3 4 2 2 <br />
(1, 2)<br />
x<br />
4<br />
rise<br />
2<br />
3 up<br />
(2, 1)<br />
4 2 O 2 4<br />
slope u p or<br />
down<br />
3<br />
<br />
1 3 slope u p or<br />
down<br />
<br />
right<br />
or<br />
left<br />
right<br />
or<br />
left<br />
y-intercept 1<br />
y-intercept 2<br />
Copyright © by Holt, Rinehart and Winston.<br />
48 Holt Middle School Math Course 2<br />
All rights reserved.<br />
2<br />
4<br />
y<br />
2 right<br />
(4, 4)<br />
4<br />
2<br />
4 2 O 2 4<br />
4<br />
y<br />
(2, 2) (2, 2)<br />
x<br />
0 4 <br />
run<br />
x<br />
<br />
0<br />
LESSON<br />
<strong>12</strong>-5<br />
Reteach<br />
Slope (continued)<br />
You can find the slope and y-intercept of a line from the equation<br />
when the equation is in the form y mx b. This is called<br />
slope-intercept form. The variable m represents the slope, and<br />
b represents the y-intercept.<br />
y mx b<br />
y 4x 2<br />
y mx b<br />
y 2 3 x<br />
The slope is 4, and the The slope is 2 , and the y-intercept<br />
3<br />
y-intercept is 2. is 0.<br />
Tell the slope and the y-intercept of each line, given the equation.<br />
6. y 5x 4 7. y 1 2 x 1 8. y 3 2 x<br />
5, 4<br />
Using the slope and the y-intercept,<br />
you can graph the equation y 3 x 3.<br />
4<br />
The y-intercept is 3, so the graph<br />
contains the point (0, 3). The slope<br />
is 3 . Starting at (0, 3), count up 3,<br />
4<br />
then 4 to the right. This is the point (4, 0).<br />
Then draw a line through the two points.<br />
9. Graph y 3x 5 using the slope<br />
and y-intercept.<br />
y-intercept 5 ; plot point ( 0, 5 )<br />
slope <br />
<br />
From the y-intercept, count down<br />
and right<br />
3<br />
3<br />
<br />
1<br />
1 . Plot that point and draw<br />
a line through the two points.<br />
1 2 , 1<br />
3<br />
3 2 , 0<br />
Copyright © by Holt, Rinehart and Winston.<br />
49 Holt Middle School Math Course 2<br />
All rights reserved.<br />
4<br />
2<br />
4 right(4, 0)<br />
x<br />
4 2 O 2 4<br />
3 up<br />
2<br />
(0, 3)<br />
4<br />
4<br />
2<br />
4 2 O 2 4<br />
2<br />
y<br />
y<br />
x<br />
Copyright © by Holt, Rinehart and Winston.<br />
97 Holt Middle School Math Course 2<br />
All rights reserved.