A103- Equation of a Line (Point- Slope form)

1. Write the point-slope form of the equation of the line through the given point with the given slope. through: (-1, 1), slope = 1

$y - 1 = - (x + 1)$

$y - 1 = 5 (x + 1)$

$y - 1 = x + 1$

$y - 1 = -5 (x + 1)$

Question 1 of 10

2. Write the point-slope form of the equation of the line through the given point with the given slope. through: (2, -1), slope = $- \frac {5}{2}$

$y + 1 = - \frac {5}{2} (x-2)$

$y + 1 = 8 (x-2)$

$y -1 =8(x+2)$

$y+1 = -8(x+2)$

Question 2 of 10

3. Write the point-slope form of the equation of the line through the given point with the given slope. through: (-5,0), slope = $-\frac {3}{5}$

$y + 5 = 4x$

$y - 5 = - \frac {1}{5} x$

$y = - \frac {3}{5} (x + 5)$

Question 3 of 10

4. Write the point-slope form of the equation of the line through the given point with the given slope. through: (-2, -3), slope = $\frac {5}{4}$

$y + 3 = \frac {5}{4} (x + 2)$

$y - 3 = - \frac {4}{5} (x - 2)$

$y - 3 = - \frac {4}{5} (x + 2)$

$y + 2 = \frac {4}{5} (x + 3)$

Question 4 of 10

5. Write the point-slope form of the equation of the line through the given point with the given slope.

through: (5, -3), slope = $\frac {2}{5}$

$y + 3 = - \frac {2}{25} (x + 5)$

$y + 3 = \frac {2}{5} (x - 5)$

$y + 3 = \frac {3}{5} (x - 5)$

$y - 5 = - \frac {5}{3} (x + 3)$

Question 5 of 10

6. Write the point-slope form of the equation of the line through the given point with the given slope. through: (1,3), slope = 2

$y + 1 = 2(x + 3)$

$y - 3 = 2(x - 1)$

$y -1 = \frac {1}{2} (x - 3)$

$y -1 = x - 3$

Question 6 of 10

7. Write the point-slope form of the equation of the line through the given point with the given slope. through: (2,3), slope = 3

$y -3 = 3(x - 2)$

$y -2 = 2(x - 3)$

$y -2 = 3(x - 3)$

$y - 3 = x - 2$

Question 7 of 10

8. Write the point-slope form of the equation of the line through the given point with the given slope. through: (-2,-3), slope = $\frac {1}{3}$

$y - 3 = 3(x - 2)$

$y + 3 = \frac {1}{3} (x - 2)$

$y - 3 = -3(x - 2)$

$y + 3 = \frac {1}{3} (x + 2)$

Question 8 of 10

9. Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-1,5), slope = 10

$y = -15x - 10$

$y = -10x + 15$

$y = 15x - 10$

$y = 10x + 15$

Question 9 of 10

10. Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-3,5), slope = $- \frac {1}{3}$

$y = - \frac {1}{3} x + 4$

$y = -4x + 1$

$y = x + 4$

$y = 4x + 1$

Question 10 of 10