Equations of Straight Lines

What is the equation of the straight line passing through (2, 2) and having equal intercepts?

x - y = 4
x + y = 3
x + y = 4 (correct)
x - y = 3

What is the equation of the straight line passing through (-3, 2) and having intercepts equal in magnitude but opposite in sign?

x - y = -5 (correct)
x - y = 5
x + y = -5
x + y = 5

What is the equation of the straight line passing through (2, 6) and having intercepts equal in magnitude but opposite in sign?

x + y = 4
x + y = -4
x - y = 4
x - y = -4 (correct)

What is the slope of a horizontal line segment?

0 (A) Signup and view all the answers

What is the relationship between the slopes of two perpendicular lines?

The product is -1 (C) Signup and view all the answers

What is the slope of a vertical line segment?

Undefined (A) Signup and view all the answers

What is the equation of the straight line passing through (3, –2) with a slope of -2/3?

2x + 3y = 0 (D) Signup and view all the answers

Find the equation of the straight line passing through (-4, 3) with a slope of 4/5.

4x - 5y = -31 (A) Signup and view all the answers

What is the equation of the straight line with a slope of 3/4 and a y-intercept of 2/3?

9x + 8 = 12y (A) Signup and view all the answers

Find the equation of the straight line with a slope of -3/2 and a y-intercept of 5.

2y = -3x + 10 (B) Signup and view all the answers

What is the equation of the straight line with an x-intercept of 5 and a y-intercept of 2/3?

2x + 15y = 10 (C) Signup and view all the answers

Find the equation of the straight line with an x-intercept of 5/3 and a y-intercept of –2/5.

2x + 15y = -2 (D) Signup and view all the answers

What is the slope of a line perpendicular to a line with a slope of m?

-1/m (B) Signup and view all the answers

What is the equation of the line that passes through (-3, -2) and is parallel to 6x + 4y = 9?

3x + 2y = -13 (D) Signup and view all the answers

What is the slope of the line 3x + 5y = 12?

-3/5 (B) Signup and view all the answers

What is the equation of the line that passes through (-3, 5) and is parallel to 3x + 5y = 12?

3x + 5y = 16 (A) Signup and view all the answers

What is the equation of the line that passes through (5, -1) and is parallel to 6x – 5y = 10?

-6x + 5y = -35 (C) Signup and view all the answers

What is the equation of the line that passes through (-2, 4) and is perpendicular to 6x − 4y = 11?

6x - 4y = -11 (A) Signup and view all the answers

What is the slope of the line perpendicular to the given line?

-1/m (B) Signup and view all the answers

Find the equation of the line passing through the points (0, 0) and (2, 2).

x - y = 0 (D) Signup and view all the answers

What is the equation of the line passing through the point (2, -3) and perpendicular to 4x + 6y = 11?

3x - 2y = 12 (C) Signup and view all the answers

Find the equation of the line joining the points (6, -1) and (-2, 0).

x + 8y = -14 (B) Signup and view all the answers

What is the equation of the line passing through the point (-5, -8) with a slope of 1/3?

x - 3y = 19 (A) Signup and view all the answers

Find the equation of the line passing through the point (4, -3) with a slope of 5.

5x - y = 23 (C) Signup and view all the answers

What is the relationship between production cost and units produced in Problem-4?

Linear (C) Signup and view all the answers

What are the coordinates of the given points in Problem-6?

(200, 800) and (400, 1200) (B) Signup and view all the answers

What is the cost of producing 300 bulbs in Problem-6?

Tk. 1800 (B) Signup and view all the answers

What is the slope of the linear relationship in Problem-5?

Tk. 1.5 per unit (B) Signup and view all the answers

What is the linear relationship between production cost and units produced in Problem-1?

y = 40x + 200 (D) Signup and view all the answers

What is the increase in production cost when production volume increases from 4000 units to 6000 units in Problem-4?

Tk. 5000 (B) Signup and view all the answers