Point-Slope Form Of A Linear Equation And Function Notation
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1
2Point – Slope Form of a Linear Equation and Function Notation
Algebra 2
POINT-SLOPE FORM OF A LINEAR EQUATION AND FUNCTION NOTATION
Learning Targets:
1. Write and graph equations in point-slope form
2. Use Function Notation
3. Write linear equations from context in point-slope form.
Slope of a Line
Example 1: What is the slope between the two points
, x y
and
x y
,
?
1
1
2
2
Point – Slope Form of a Linear Equation
In order to write the equation of a line, all you need is one point,
, x y , that is on the line and the slope, m.
1
1
The point – slope form of a linear equation is
____________________________________________________
Example 2: For each of the following, write the equation of the line with the given information in point-slope form.
b) Point (–12, 65); Slope = 18
2
a) Point (1, –3); Slope =
3
y
c) Points (12, –2) and (6, 3) are on the line.
d)
x
Example 3: State the point and slope used in each of the following equations.
1
a)
y
4
2
x
1
b)
y
4
x
8
2
1
5
c)
y
x
2
3
2
8
Example 4: Graph equation a from each of the last two examples.
y
y
x
x
Function Form: The point-slope equation we are using is NOT written in function form. An equation is written in
function form when you have solved the equation for one variable. If we solve the point-slope equation we have been
using for y
, we would say that
“y is ___________________________ x”.
1
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