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# 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.

**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.

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

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**Q5: **

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

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**Q6: **

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

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**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 .

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**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 6Β units away from the origin.

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