# Lesson Worksheet: Linear Functions in Different Forms Mathematics • 8th Grade

In this worksheet, we will practice writing linear functions in different forms, such as standard form and slope–intercept form.

**Q5: **

True or False: The equation of a line intercepting the vertical axis at is .

- AFalse
- BTrue

**Q6: **

True or False: The equation of a line passing through the origin is .

- ATrue
- BFalse

**Q7: **

Which of the following graphs represents the equation ?

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**Q8: **

Which of the following graphs represents the equation ?

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**Q11: **

A straight line is defined by the equation .

Given that the point lies on the line, find an expression for in terms of , , and .

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Given also that the point lies on the line and is the slope of the line, find an expression for in terms of , , , and .

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By substituting in for and factorizing out , find the formula for the equation of the line.

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Substitute in your expression for to complete your formula.

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**Q12: **

The general form for the equation of any linear function is . What do and represent?

- A represents the slope of the graph of the function, and represents the -intercept of the graph of the function.
- B represents the slope of the graph of the function, and represents the -intercept of the graph of the function.
- C represents the slope of the graph of the function, and represents the -intercept of the graph of the function.
- D represents the slope of the graph of the function, and represents the -intercept of the graph of the function.

**Q13: **

What is the -intercept of the function ?

**Q14: **

Which of the following equations represents the function drawn on the graph?

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**Q15: **

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

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**Q18: **

Find the Cartesian equation of the straight line passing through the point and parallel to the straight line whose equation is .

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**Q19: **

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

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**Q20: **

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

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