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

Please verify your account before proceeding.

In this lesson, we will learn how to find the equation of a line through two points and how to express the equation in different forms.

Q1:

A line πΏ passes through the points ( 3 , 3 ) and ( β 1 , 0 ) . Work out the equation of the line, giving your answer in the form π π¦ + π π₯ + π = 0 .

Q2:

A line πΏ passes through the points ( 2 , 3 ) and ( β 2 , 5 ) . Work out the equation of the line, giving your answer in the form π¦ = π π₯ + π .

Q3:

A line πΏ passes through the points ( 1 , 1 ) and ( β 5 , β 1 ) . Work out the equation of the line, giving your answer in the form π¦ = π π₯ + π .

Q4:

Let π΄ be the point ( 5 , β 1 ) and π΅ be the point ( β 1 , 8 ) . Which of the following points is on β ο© ο© ο© ο© β π΄ π΅ ?

Q5:

What is the equation of the function seen in the given graph?

Q6:

The following graph shows the money that Farida earns.

Write an equation to represent the relationship between dollars and time.

Q7:

Find the equation that represents the relation between π₯ and π¦ .

Q8:

The line through points ( 3 , β 3 ) and ( 8 , 1 ) has equation π¦ = π π₯ β 4 . What is π ?

Q9:

Suppose that π΄ π΅ is a chord of a circle π , π· is the midpoint of π΄ π΅ , and the coordinates of π΄ and π΅ are ( 1 , 4 ) and ( 3 , 5 ) . Find the equation of β ο© ο© ο© ο© ο© ο© β π π· .

Q10:

Determine the equation of the straight line given in the diagram.

Q11:

A line πΏ passes through the points ( β 2 , 4 ) and ( 4 , β 3 ) . Work out the equation of the line, giving your answer in the form π¦ = π π₯ + π .

Q12:

A line πΏ passes through the points ( β 1 , 2 ) and ( 3 , 6 ) . Work out the equation of the line, giving your answer in the form π¦ = π π₯ + π .

Q13:

Given that the points ( β 1 , β 4 ) , ( 3 , π¦ ) , and ( β 5 , β 6 ) are collinear, find the value of π¦ .

Q14:

Find the equation of the straight line which passes through the two points ( β 1 , β 2 ) and ( β 7 , β 4 ) .

Q15:

Find the equation of the straight line which passes through the two points ( 1 , 4 ) and ( 5 , 6 ) .

Q16:

Find the equation of the straight line which passes through the two points ( β 1 , 2 ) and ( 3 , β 4 ) .

Q17:

Find the equation of the straight line which passes through the two points ( β 2 , β 3 ) and ( 4 , 7 ) .

Q18:

If π΄ π΅ πΆ π· is a square in which π΄ ( 8 , 1 ) and πΆ ( β 3 , 5 ) , find the equation of β ο© ο© ο© ο© β π΅ π· in the form of π¦ = π π₯ + π .

Q19:

In the figure shown, points π΄ and π΅ have coordinates ( 8 , 0 ) and οΌ 0 , β 5 2 ο . Determine πΆ and then the equation of the line β ο© ο© ο© ο© β π΄ πΆ .

Q20:

Determine, in the form π¦ = π π₯ + π , the equation of the axis of symmetry of π΄ π΅ , where the coordinates of π΄ and π΅ are ( β 3 , 4 ) and ( 1 , 5 ) respectively.

Q21:

Find the linear equation that includes the two points (2, 3) and (0, 6).

Donβt have an account? Sign Up