# Lesson Worksheet: Equation of a Straight Line: General Form Mathematics

In this worksheet, we will practice finding and writing the equation of a straight line in general form.

Q1:

Write the equation of the line that passes through the points and in the form .

• A
• B
• C
• D
• E

Q2:

A line passes through the points and .

Find the gradient of the line.

Find the coordinates of the point at which the line intercepts the -axis.

• A
• B
• C
• D
• E

Hence, write the equation of the line in the form .

• A
• B
• C
• D
• E

Q3:

Write the equation of the line with slope and -intercept in the form .

• A
• B
• C
• D
• E

Q4:

What are the and of the line ?

• A2, 12
• B3, 12
• C4, 6
• D2, 3
• E3, 2

Q5:

A line passes through and cuts out a triangle of area 32 with the two coordinate axes. What is its equation?

• A
• B
• C
• D

Q6:

Find all the lines that pass through and whose - and -intercepts combined distances from the origin is 12.

• A
• B
• C
• D

Q7:

Given that the coordinates of the points and are and , respectively, and the point divides internally in the ratio , determine the equation of the straight line passing through the points and .

• A
• B
• C
• D

Q8:

Determine the area of the triangle bounded by the , the , and the straight line .

• A112 area units
• B14 area units
• C56 area units
• D28 area units

Q9:

Determine the equation of the straight line having a direction vector of , given that the line intersects the positive part of the at a point that is 6 units away from the origin.

• A
• B
• C
• D

Q10:

A line passes through the points and . Work out the equation of the line, giving your answer in the form .

• A
• B
• C
• D
• E

This lesson includes 21 additional questions and 171 additional question variations for subscribers.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.