Math Eportfolio Assignment

Linear Equations/Inequalities

By Mrs. Lenora Nelson 1/05/09 From www.freewebs.com/mrs--nelson

y=5
x=5 / Plot these two equations:
in green y = # is always a horizontal line
in blue x = # is always a vertical line
(0, 5) (12, 5) à y = 5 slope = 0
(5, 3) (5, -7) à x = 5 slope = undefined
These are the formulas for linear equations.
slope:
standard form:
slope-intercept form: (y-intercept form) / point-slope form:
parallel slope: has the same slope of given line
perpendicular slope: has negative reciprocal slope of given line.
Solution Descriptions / Problems generated by http://www.easyworksheet.com
All rights reserved. Copyright 1998 Triple Threat Inc.
Problem a: Write the equation of the line in standard form
Step 2: Find the slope
Step 3: Use the point-slope formula
Step 4: Write in standard form: x&y same side, x positive, no fractions. / Original problem: Line going through
(-3,4) and (-4,-2)
Step 2:
Step 3:
Step 4:
Problem b: Write the equation of the line in standard form
Step 2: Use the point-slope formula
Step 3: Write in standard form: x&y same side, x positive, no fractions. / Original problem: slope=7 through (-7,6)
Step 2:
Step 3:
Problem c: Write the equation of the line in slope-intercept form
Step 2: Find slope of given line.
Step 3: Use the point-slope formula
Step 4: Solve for y to get into slope-intercept form. / Original problem: Parallel to line: going through (-4,-5)
Step 2: in standard form so
Step 3:
Step 4:
Problem d: Write the equation of the line in slope-intercept form
Step 2: Perpendicular slope is the negative reciprocal
Step 3: Use the point-slope formula
Step 4: Solve for y to get into slope-intercept form. / Original problem: Perpendicular to line from problem c and going through same point.
Step 2:
Step 3:
Step 4:

Page ___