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In this lesson, we will learn how to represent the equation of a line in standard form.

Q1:

Find the equation of the straight line that passes through the points ( 1 , 1 ) and ( 3 , 4 ) . Give your answer in standard form.

Q2:

Given π΄ ( 0 , β 8 ) , π΅ ( β 5 , β 8 ) , and πΆ ( 9 , β 6 ) , find the general equation of the straight line that passes through point π΄ and bisects π΅ πΆ .

Q3:

Given π΄ ( 2 , 1 ) , π΅ ( β 9 , β 6 ) , and πΆ ( 1 , 6 ) , find the general equation of the straight line that passes through point π΄ and bisects π΅ πΆ .

Q4:

Find the Cartesian equation of the straight line passing through the point ( β 4 , 2 ) and parallel to the straight line whose equation is 6 π₯ + 7 π¦ + 3 = 0 .

Q5:

Find the Cartesian equation of the straight line passing through the point ( β 3 , β 5 ) and parallel to the straight line whose equation is 5 π₯ + 5 π¦ + 9 = 0 .

Q6:

Write the equation represented by the graph shown. Give your answer in the form π π₯ + π π¦ = π .

Q7:

Q8:

A line has slope β 3 2 and passes through the point ( 5 , 0 ) . What is the equation of this line?

Q9:

A line has slope 2 and passes through the point ( β 3 , 0 ) . What is the equation of this line?

Q10:

A line has slope β 1 4 and passes through the point ( β 7 , 0 ) . What is the equation of this line?

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