Quiz 2
Name:__________________________________________ Date:______________________ Period:________
Section 8.5 Day 2
Determining the Equation of a Line
The 3 forms of an equation of a line are:
Slope-Intercept Form Point-Slope Form Standard Form
y = mx + b y – y1 = m(x – x1) Ax + By = C
m = slope m = slope slope = [pic]
b = y-intercept (x1, y1) given point y-intercept = [pic]
* use given slope and y-intercept * use given a point and slope *** NEVER start here
or given 2 points
To write the equation of line:
➢ Pick the form that matches the information you are given { [pic]or y–y1 = m(x–x1) }
➢ Substitute given information into the corresponding equation
➢ Solve equation for the appropriate form in the directions
➢ Given a graph:
o Find your y-intercept (b) and slope (m)
➢ Given two points:
o Find the slope
o Pick a point
o Use point-slope to write the equation of the line
➢ Given intercepts:
o Write the intercepts as ordered pairs
o Find the slope
o Substitute slope and y-intercept into [pic]
Write an equation of the line in slope-intercept form of each line described.
1. slope 2; y-intercept 15 2. slope [pic]; y-intercept [pic] 3. slope –3, (–1, 2)
Write an equation of the line in standard-form form of each line described.
4. slope [pic]; x-intercept –3 5. slope 0 , through (1, –4) 6. (4, –3) and (3, –6)
7. y-intercept = 3, 8. horizontal line 9. vertical line
x-intercept = – 4 through (–5, –12) through (9, –15)
Write an equation of the line in slope-intercept form of each line graphed.
10. 11. 12.
13. 14. 15.
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