Exploring Slope: Graphing Linear Equations in Real Life

A car travels on a straight road that rises 3 feet for every 10 feet it moves forward. What is the slope of the road? Graph the slope on a coordinate plane.

• 0.5

• 0.2

• 1.0

• 0.3

A building is being constructed with a ramp that has a slope of 1/4. If the ramp rises 4 feet, how far does it extend horizontally? Graph this situation.

• 16 feet

• 12 feet

• 8 feet

• 20 feet

A skateboard ramp is designed with a slope of 5. If the ramp is 10 feet long, how high will it rise? Create a graph to represent this ramp.

• 1 foot

• 2 feet

• 3 feet

• 4 feet

A train travels on a track that has a slope of -2. If the train descends 2 feet for every 1 foot it moves forward, how would you graph this slope?

• The graph will be a horizontal line with a slope of 0.

• The graph will show a line ascending from left to right with a slope of 2.

• The graph will show a line descending from left to right with a slope of -2.

• The graph will show a line descending from right to left with a slope of -2.

A gardener is planting a flower bed that slopes downwards at a rate of 1/3. If the flower bed is 12 feet long, how much does it drop in height? Graph the flower bed's slope.

• 6 feet

• 4 feet

• 8 feet

• 2 feet

A road has a slope of 3/5. If a cyclist rides up the road for 15 feet, how much elevation gain does the cyclist achieve? Illustrate this on a graph.

• 12 feet

• 6 feet

• 9 feet

• 15 feet

A ski slope has a steepness represented by the equation y = -3x + 12. What does the slope tell you about the difficulty of the slope? Graph the equation.

• The slope of -3 means the ski slope is not steep at all.

• The slope of -3 indicates a flat and easy ski slope.

• The slope of -3 indicates a steep and difficult ski slope.

• The slope of -3 suggests a gentle incline suitable for beginners.

A ramp is designed to have a slope of 1/2. If the ramp is 8 feet long, how high will it rise? Create a graph to show the ramp's slope.

• 3.0 feet

• 1.0 feet

• 4.0 feet

• 2.0 feet

A water slide has a slope of 4. If the slide is 20 feet long, how high does it rise? Graph the water slide's slope and analyze how the slope affects the speed of the slide.

• 5 feet

• 8 feet

• 3 feet

• 10 feet