Identify Slope and Y-Intercept

Front

What is the definition of the slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented by 'm' in the equation y = mx + b.

Front

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

Back

The y-intercept is found by setting x = 0 in the equation and solving for y.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept of the line.

Front

In the equation y = -2x + 6, what is the slope?

Back

The slope is -2.

Front

What is the y-intercept of the line represented by the equation y = 2/3x - 4?

Back

The y-intercept is -4.

Front

If a line has a slope of 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units, making the line steep.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

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

Back

The 'm' represents the slope of the line.

Front

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

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.