Geometry Independent Practice 3.5: Equations of Lines Name ______________________ Period _____ Date ___________ Write an equation of line AB in slope‐intercept form. Hint: Find the slope and use point‐slope form with either point A or point B. 1. 2. Write an equation of the line that passes through point P and is parallel to the line with the given equation. 1
3. P(–2,0); y   x  6 2
Write an equation of the line that passes through point P and is perpendicular to the line with the given equation. 1 x + 8 4. P(5, 20); y = 5. P(3, 5); y = 4 2 Write an equation of the line that passes through point P and is parallel to line AB. Hint: Find the slope of line AB and use point slope form with the coordinates of point P. 6. Write an equation of the line that passes through point p and is perpendicular to line AB. Hint: Find the slope of line AB, calculate the slope of the perpendicular line and use point slope form with the coordinates of point P. 7. Graph the line with the given equation. 8. 2x – y = ‐ 4 9. y = –3x + 5 10. y + 3 = 6 1
11. y  1  ( x  3) 2
12: Angles ABC and DBH are supplementary. If mABC  45 , then mDBH  ______. Answer bank: y  20  2( x  5) or y  2 x  30 x  3 1
( x  2) 2
1
x  1 or y 
2
135 y  3  2( x  0) or y  2 x  3 y 0 
y
y  1  1( x  2) or y  x  1 2
x  1 3
y
2
1
x 3
3