Section 2.3, 2.4 Graphing Lines And Writing Equations Of Lines Worksheet With Answers (Page 6 of 7) in pdf

Section 2.3, 2.4 Graphing Lines And Writing Equations Of Lines Worksheet With Answers Page 6

C. Writing linear equations given two points

• find the slope using the slope formula ( m = ___________ )

• pick one of your points to be x and y

• plug m, x, y into y = mx + b

• solve for b; plug m and b into y = mx + b (** Remember to leave x and y as variables! **)

• convert to standard form, if necessary

21.) Find the equation of the line going

22.) Find the equation of the line with

through (-3, 1) and (4, 8) in slope-intercept

x-intercept 3 and y-intercept -2 in standard

form.

23.) Find the equation of the line going

24.) Find the equation of the line with

through (5, 2) and (-1, 3) in standard form.

x-intercept 5 and y-intercept -4 in slope-

intercept form.

Writing an equation of a line given a parallel or perpendicular line

• Find m from the given line by getting y alone first

• If the line is parallel, __________________________

• If the line is perpendicular, ________________________________________

• Plug m, x, y into y = mx + b; solve for b

• Plug m and b into y = mx + b (leave x and y as variables!). Convert to standard form if

necessary.

25.) Write the equation of the line that passes

26.) Write the equation of the line that passes

through (1, 2) and is parallel to y = 3x + 4.

through (3, -2) and is perpendicular to

Leave in slope-intercept form.

y = 3x – 5. Leave your answer in standard

form.

Section 2.3, 2.4 Graphing Lines And Writing Equations Of Lines Worksheet With Answers Page 6