Slope-Intercept Equations and Graphing in Real Life

A car is traveling on a straight road that rises 3 feet for every 10 feet it travels horizontally. Write the slope-intercept equation for this road and graph it.

• y = (3/10)x

• y = 10x

• y = (1/3)x

• y = (3/5)x

A bike path has a slope of 1/4. If the path starts at the point (0, 2), write the slope-intercept equation and graph it.

• y = (3/4)x + 2

• y = (1/4)x - 2

• y = (1/2)x + 2

• y = (1/4)x + 2

A building is being constructed with a roof that rises 5 feet for every 12 feet of horizontal distance. Write the slope-intercept equation for the roof and graph it.

• y = (12/5)x

• y = 5x + 12

• y = (5/12)x + 5

• y = (5/12)x

A skateboard ramp rises 2 feet for every 5 feet of horizontal distance. If the ramp starts at the origin, write the slope-intercept equation and graph it.

• y = (2/5)x

• y = (1/2)x

• y = (2/3)x

• y = (3/5)x

A train travels on a track that rises 4 feet for every 15 feet it moves forward. Write the slope-intercept equation for the track and graph it.

• y = (4/15)x + 2

• y = 4x + 15

• y = (15/4)x

• y = (4/15)x

A garden is designed with a slope of 3/2. If the garden starts at the point (1, 1), write the slope-intercept equation and graph it.

• y = (2/3)x + 1

• y = (3/2)x - 1/2

• y = (3/2)x + 1/2

• y = (1/2)x - 1

A ramp for wheelchair access rises 1 foot for every 3 feet of horizontal distance. Write the slope-intercept equation and graph it starting from the origin.

• y = (1/2)x

• y = (3/1)x

• y = (1/3)x

• y = (1/4)x

A road has a slope of -2. If it crosses the y-axis at (0, 5), write the slope-intercept equation and graph it.

• y = 2x + 5

• y = -2x + 5

• y = -2x - 5

• y = -2x + 10

A hill rises 6 feet for every 8 feet of horizontal distance. Write the slope-intercept equation for the hill and graph it.

• y = 4x

• y = (1/2)x + 6

• y = (2/3)x

• y = (3/4)x

A slide in a playground descends at a slope of -3/4. If it starts at the point (0, 4), write the slope-intercept equation and graph it.

• y = 3/4x + 4

• y = -3/4x + 4

• y = -3/4x - 4

• y = -4/3x + 0