Download Point slope of a linear equation A. Graph the line that passes

Cognitive Algebra Name________
Date_____
5.5 Notes: Point slope of a linear equation
• I can state the point-slope
form of an equation.
• I can write equations in
point-slope form.
A. Graph the line that passes
through the point (1, 4) and
has a slope of 2.
B. On the same coordinate plane,
graph the equation y – 4 = 2(x –
1).
C. What is true about the two
lines?
D. How is the ordered pair related to the equation in Part B?
E. How is the slope related to the equation in part B?
Cognitive Algebra Name________
Date_____
5.5 Notes: Point slope of a linear equation
F. Graph the line that passes
through the point (-2, 3) and
has a slope of -3.
G. On the same coordinate
plane, graph the equation y –
3(x + 2).
H. What is true about the two
lines?
I. How is the ordered pair related to the equation in Part G?
J. How is the slope related to the equation in part G?
10
8
6
4
(x, y)
2
(x1, y1)
-10
-5
5
-2
-4
10
Cognitive Algebra Name________
Date_____
5.5 Notes: Point slope of a linear equation
Examples
1. Write an equation of the line. Use the points
(-2, 3) & (-1, 1). Write your equation in point
slope-form.
2. Write an equation of the line. Write the
answer in slope-intercept form.
3. Guided Practice: Write an equation of the line in point-slope form that passes
1
through the point (-1, -6) with slope − .
3
Cognitive Algebra Name________
Date_____
5.5 Notes: Point slope of a linear equation
Example: The information below was taken from an article that appeared in a
newspaper.
4. Use the information to write a linear model for optimal running pace.
5. Use the model to find the optimal running pace for a temperature of 80°F.
Guided Practice.
6. A crate can hold up to 30 oranges. The crate with 16 oranges weighs 8.8 lb. Assuming
that each orange weighs about 0.4 lb, write a linear model to represent the weight of the
crate with x oranges. How much will a full crate weigh?
7. Name the following form of the equation of a line: y − y1 = m ( x − x1 ) .
Cognitive Algebra Name________
Date_____
5.5 Notes: Point slope of a linear equation
8. What are the values of m, x1 , and y1 in the equation y – (-1) = 3(x – 2)?
Write an equation of the line in point-slope form.
9.
10.
Write an equation of the line in point-slope form that passes through the given
point and has the given slope.
11. (-5, -7), m = -2.
12. (7, -7), m = -8
Write an equation of the line in point-slope form that passes through the given
points.
13. (-17, -8) and (-7, -5)
14. (-4, -7) & (2, 2)
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