Topics of Algebra 2
Name: ______________________________
Point-Slope Form HW
Is each given equation in standard, slope-intercept, or point-slope form?
2
x4
3
1.
y
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2.
y  8  ( x  1)
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3.
2 x  y  11
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4.
y 1 
5.
y  4 x  10
1
( x  3)
2
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For each equation, identify the slope and a point on the line. Then graph the line.
6. y  2  2( x  4)
Slope:______Point:_______
9. y  5  2( x  1)
Slope:______Point:_______
7. y  3  ( x  1)
Slope:______Point:_______
10. y  3  4( x  3)
Slope:______Point:_______
8. y  3 
2
( x  2)
3
Slope:______Point:_______
1
11. y  3  ( x  4)
2
Slope:______Point:_______
12. Write the equation of a line with a slope of 
3
and containing the point (2, 7).
4
Use point-slope form.
13. Write the equation of a line with a slope of 15 and containing the point (– 5, 8).
Use point-slope form, and write your final answer in slope-intercept form.
14. Write the equation of a line containing the points (– 3, 4) and (3, 7).
Use point-slope form.
15. Write the equation of a line containing the points (1, – 2) and (– 3, 6).
Use point-slope form, and write your final answer in slope-intercept form.
16. Write the equation of the line parallel to 2x + 3y = 6 that passes through (1, -5).
17. Write the equation of the line perpendicular to 4x – 2y = 10 that passes through (-6, 2)