Slope-Point Form Of The Equation For A Linear Function Worksheet

Slope-Point Form Of The Equation For A Linear Function Worksheet - Lesson 4

Lesson 4 – Slope-Point Form of the Equation for a

Linear Function

Specific Outcome: 6.2 – Rewrite a linear relation in either slope-intercept or general form. 6.3 – Generalize and

explain strategies for graphing a linear relation in slope-point form. 6.4 – Graph, with and without technology, a linear

relation given in slope-point form, and explain the strategy used to create the graph. 6.6 – Match a set of linear

relations to their graphs. 7.2 – Write the equation of a linear relation, given its slope and the coordinates of a point on

the line, and explain the reasoning. 7.3 – Write the equation of a linear relation, given the coordinates of two points

on the line, and explain the reasoning. 7.4 – Write equation of a linear relation, given the coordinates of a point on

the line and the equation of a parallel/perpendicular line, and explain the reasoning. 7.5 – Graph linear data

generated from a context, and write the equation of the line.

Slope-Point Form:

 Slope-point form of the equation of a linear function:

= �� ( �� − ��

)

�� − ��

 Where �� is the slope and ( ��

) is a point on the line.

, ��

 It is used when we have the slope and the coordinates of any point on the line.

Example 1: Graph the following linear functions.

a) Line 1: �� − 2 = 3(�� − 4)

b) Line 2: �� + 1 = −

(�� − 2)

c) Line 3: �� + 4 = −2 ( �� + 5 )

d) Line 4: �� − 6 =

(�� + 3)

Slope-Point Form Of The Equation For A Linear Function Worksheet - Lesson 4