Identify the slope and y intercept

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of 'b' in the slope-intercept form y = mx + b.

Front

In the slope-intercept form of a linear equation, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

If the slope of a line is zero, what does this mean about the line?

Back

A slope of zero means the line is horizontal and does not rise or fall as it moves along the x-axis.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you find the y-intercept from a linear equation in standard form?

Back

To find the y-intercept from the standard form Ax + By = C, set x = 0 and solve for y.

Front

What is the significance of the y-intercept in real-world applications?

Back

The y-intercept can represent the starting value or initial condition in various real-world scenarios, such as in finance or physics.

Front

If a line has a slope of 3 and a y-intercept of 6, what is the equation of the line?

Back

The equation of the line is y = 3x + 6.