Worksheet: Equation of a Line through Two Points

In this worksheet, we will practice finding the equation of a line through two points and expressing the equation in different forms.

Q1:

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

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Q2:

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

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Q3:

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

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Q4:

What is the equation of the line with -intercept and -intercept 4?

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Q5:

Write the equation represented by the graph shown. Give your answer in the form .

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Q6:

Write the equation of the line passing through and .

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Q7:

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

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Q8:

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

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Q9:

Find the equation of the straight line which passes through the two points and .

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Q10:

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

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Q11:

Find the equation that represents the relation between and .

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Q12:

Given that the points , , and are collinear, find the value of .

Q13:

If is a square in which and , find the equation of in the form of .

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Q14:

Determine, in the form , the equation of the axis of symmetry of , where the coordinates of and are and respectively.

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Q15:

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

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Q16:

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

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Q17:

Suppose that is a chord of a circle , is the midpoint of , and the coordinates of and are and . Find the equation of .

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Q18:

The following graph shows the money that Farida earns.

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

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Q19:

The line through points and has equation . What is ?

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Q20:

In the figure shown, points and have coordinates and . Determine and then the equation of the line .

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Q21:

Let be the point and be the point . Which of the following points is on ?

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