Lesson 4.1 ALG 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 identify the slope from a linear equation?

Back

The slope is the coefficient of x in the slope-intercept form of the equation.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the point where the line crosses the y-axis, which is the value of y when x = 0.

Front

If a linear equation has a slope of 3 and a y-intercept of -1, what is the equation?

Back

The equation is y = 3x - 1.

Front

What is a linear model in real-life situations?

Back

A linear model is a linear function that represents a relationship between two variables in a real-life context.

Front

How can you determine the equation of a line from a table of values?

Back

You can determine the equation by finding the slope (change in y over change in x) and using a point from the table to find the y-intercept.

Front

What is the significance of the equation f(x) = x + 65?

Back

This equation represents a linear function where the slope is 1 and the y-intercept is 65.

Front

What does the equation f(x) = x - 2 represent?

Back

This equation represents a linear function with a slope of 1 and a y-intercept of -2.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.