Exercises for Question Type 2: Finding points of intersection of two straight lines

Question 1

Skill question

Solve for the intersection of the lines $\frac{3}{2} x - \frac{1}{3} y = 4$ and $\frac{x}{4} + \frac{y}{2} = 1$ .

[6]

Question 2

Skill question

Find the point of intersection of the lines $4 x + y = 8$ and $x - 3 y = 1$ .

[4]

Question 3

Skill question

Determine whether the lines $2 x - 4 y + 2 = 0$ and $x - 2 y + 1 = 0$ intersect; if so, find all solutions.

[4]

Question 4

Skill question

Do the lines $y = 3 x + 2$ and $6 x - 2 y + 1 = 0$ intersect? If so, find the point.

[4]

Question 5

Skill question

Find the point of intersection of the lines $y = 5 x + 4$ and $y = 2 x - 3$ .

[4]

Question 6

Skill question

Find where the lines $y = \frac{1}{2} x - 2$ and $y = - 2 x + 3$ intersect.

[5]

Question 7

Skill question

Solve for the intersection of the lines given by $3 x - y = 7$ and $x + 2 y = 4$ .

[4]

Question 8

Skill question

Find the intersection of the lines $5 x - 2 y + 10 = 0$ and $x + y - 3 = 0$ .

[6]

Question 9

Skill question

Determine the intersection point of the lines $y = - x + 1$ and $y = 2 x - 5$ .

[4]

Question 10

Skill question

Determine the intersection point of the lines $2 x + 3 y = 12$ and $4 x - y = 6$ .

[4]

Question 11

Skill question

Find the intersection of the lines $2 x - 5 y + 3 = 0$ and $5 x + 2 y - 11 = 0$ .

[6]

Question 12

Skill question

A line passes through $(1, 2)$ and $(3, 6)$ . Find its intersection with the line $y = - x + 4$ .

[6]

IB Mathematics Analysis and Approaches Question Type 2: Finding Points of Intersection of Two Straight Lines Exercises

IB Mathematics Analysis and Approaches Question Type 2: Finding Points of Intersection of Two Straight Lines Exercises