Practice the questions given in the worksheet on slope intercept form of a straight line.

1. Find the equation of the line

(i) whose slope is 2 and which cuts off an intercept 2 on the y-axis

(ii) whose inclination is 45° and which cuts off an intercept -1 on the y-axis.

2. Find the equation of the line

(i) passing through (1, 3) and making an intercept 5 on the y-axis

(ii) passing through (4, -2) and making an intercept -3 on the y-axis

3. Find the equation of the line

(i) passing through (-2, 5) and cutting the y-axis at A on the positive side of the y-axis such that OA = 4, O being the origin

(ii) passing through (1, -2) and cutting the y-axis at B on the negative side of the y-axis such that OB = 4, O being the origin

4. Find the equation of the line parallel to the x-axis at a distance

(i) 8 on the positive side of the y-axis

(ii) 5 on the negative side of the y-axis

5. A and B are two points on the x-axis. A is on the positive side of the x-axis at a distance 5 and B is on the negative side at a distance 3 from the origin O. P is the midpoint of AB. Find the equation of the line PC which cuts an intercept 2 on the y-axis. Also, find the slope of PC.

6. Find the slope and the y-intercept of the line whose equation is

(i) y = x + 3

(ii) 3y = √3x – 1

(iii) 11x – 5y + 2 = 0

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

7. If the inclination of the line y – 1 = ax + a^2 is 45°, find its y-intercept.

Answers for the worksheet on slope intercept form are given below:

**Answer:**

1. (i) y = 2x + 2

(ii) y = x - 1

2. (i) y + 2x = 5

(ii) x – 4y = 12

3. (i) x + 2y = 8

(ii) y = x - 3

4. (i) y = 8

(ii) y + 5 = 0

5. 2x + y = 2; slope = -2

6. (i) slope = 1, y-intercept = 3

(ii) slope = 1/√3, y-intercept = -1/3

(iii) slope = 11/5, y-intercept = 2/5

(iv) slope = 3/2, y-intercept = 3/2

7. 2

● **Equation of a Straight Line**

**Inclination of a Line****Slope of a Line****Intercepts Made by a Straight Line on Axes****Slope of the Line Joining Two Points****Equation of a Straight Line****Point-slope Form of a Line****Two-point Form of a Line****Equally Inclined Lines****Slope and Y-intercept of a Line****Condition of Perpendicularity of Two Straight Lines****Condition of parallelism****Problems on Condition of Perpendicularity****Worksheet on Slope and Intercepts****Worksheet on Slope Intercept Form****Worksheet on Two-point Form****Worksheet on Point-slope Form****Worksheet on Collinearity of 3 Points****Worksheet on Equation of a Straight Line**

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