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In this lesson, we will learn how to find and write the equation of a straight line in general form.

Q1:

Write the equation of the line that passes through the points ( 2 , β 2 ) and ( β 2 , 1 0 ) in the form π π₯ + π π¦ + π = 0 .

Q2:

Write the equation of the line with slope 3 2 and π¦ -intercept ( 0 , 3 ) in the form π π₯ + π π¦ + π = 0 .

Q3:

Does the equation 6 π₯ β 2 π¦ = 1 represent a straight line?

Q4:

A line passes through the points ( 4 , 3 ) and ( β 2 , β 9 ) .

Find the gradient of the line.

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

Hence, write the equation of the line in the form π π₯ + π π¦ + π = 0 .

Q5:

Which of the following equations represents a straight line?

Q6:

Determine the general equation of a straight line that passes through point π ( β 6 , 6 ) and has a direction vector ο π΄ π΅ , given that the coordinates of π΄ and π΅ are ( β 2 , 3 ) and ( 2 , 0 ) , respectively.

Q7:

Determine the general equation of a straight line that passes through point π ( β 4 , β 4 ) and has a direction vector ο π΄ π΅ , given that the coordinates of π΄ and π΅ are ( 4 , 0 ) and ( 2 , β 1 ) , respectively.

Q8:

Determine the general equation of a straight line that passes through point π ( β 6 , β 3 ) and has a direction vector ο π΄ π΅ , given that the coordinates of π΄ and π΅ are ( β 4 , 5 ) and ( β 5 , 1 ) , respectively.

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