Slope Intercept Word Problems

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you determine the slope from a word problem?

Back

Identify the rate of change or the amount that y changes for each unit increase in x.

Front

Write the equation for a job that pays $15 per hour with a starting amount of $20.

Back

y = 15x + 20

Front

Write the equation for making tacos at a rate of 3 tacos per minute after starting with 8 tacos.

Back

y = 3x + 8

Front

Write the equation for a membership that costs $14 plus $2 for each event attended.

Back

y = 2x + 14

Front

Write the equation for knitting 3 centimeters of scarf each night.

Back

y = 3x

Front

Write the equation for cycling 5 kilometers for each trip to work.

Back

y = 5x

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.