Unit 4 Review Math 1

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

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change or how much y changes for a unit change in x.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0; it represents the starting point of the line on the y-axis.

Front

Write the equation for the total cost C of a service that charges a flat fee plus a variable hourly rate.

Back

C = mh + b, where m is the hourly rate, h is the number of hours, and b is the flat fee.

Front

What does the x-intercept represent in the context of Juan's shirt sales?

Back

The x-intercept represents the number of short sleeve shirts Juan must sell if he does not sell any long sleeve shirts.

Front

How do you graph a linear equation in slope-intercept form?

Back

Start by plotting the y-intercept (0, b) on the graph, then use the slope (rise/run) to find another point.

Front

What is the significance of the coefficients in a linear equation?

Back

The coefficients indicate the relationship between the variables; they show how much one variable changes in relation to another.

Front

How can you determine if a point lies on the line represented by a linear equation?

Back

Substitute the x and y values of the point into the equation; if the equation holds true, the point lies on the line.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).