Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Modelling Relationships: Linear and Quadratic Functions, Exercise 6: Exercise 3A

Find the gradient:

Find the gradient of the line passing through the given points:

$(4,8),(8,11)$

Find the gradient of the line passing through the given points:

$(-2,2),(4,-4)$

Find the gradient of the line passing through the given points:

$(-7,1),(7,8)$

The height, $h$, of a burning candle $t$ seconds after it is lit is shown in the table. Find the gradient of the line joining a scatter graph of these points, and explain what the gradient of this line tells you.

Baldwin Street in Dunedin, New Zealand, is known as the steepest street in the world. Baldwin Street is a short residential street about $350$ metres long. From its base at approximately $30$ metres above sea level, it rises to a height of about $100 \mathrm{m}$ above sea level. The segment shown in the following diagram models Baldwin Street.

Find the coordinates of $B$, to the nearest hundredth.

Baldwin Street in Dunedin, New Zealand, is known as the steepest street in the world. Baldwin Street is a short residential street about $350$ metres long. From its base at approximately $30$ metres above sea level, it rises to a height of about $100 \mathrm{m}$ above sea level. The segment shown in the following diagram models Baldwin Street.

Find the gradient of segment $AB$, to the nearest hundredth.

Baldwin Street in Dunedin, New Zealand, is known as the steepest street in the world. Baldwin Street is a short residential street about $350$ metres long. From its base at approximately $30$ metres above sea level, it rises to a height of about $100 \mathrm{m}$ above sea level. The segment shown in the following diagram models Baldwin Street.

Find the grade of Baldwin street.