What is the slope and y-intercept of the following lines?
y = -5x + 17
Slope =
Intercept =
y = 2x – 5
Slope =
Intercept =
4x + y = 0
Slope =
Intercept =
8x - 4y = -216
Slope
=
Intercept =
-2y - 16 = 6x
Slope =
Intercept =
y = -3x – 14
Slope =
Intercept =
-90 = -2y + 10x
Slope =
Intercept =
10x - 5y = 395
Slope =
Intercept =
4x - 2y = 8
Slope =
Intercept =
6x + 2y = 86
Slope =
Intercept =
25x + 5y = 485
Slope =
Intercept =
-12x = -60 - 4y
Slope =
Intercept =
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
10th Grade Math
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