Slope Intercept Form

Front

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

Back

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

Front

How do you identify the slope in the equation y = 4x + 3?

Back

In the equation y = 4x + 3, the slope (m) is 4.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, the value of y increases by 2 units, making the line relatively steep.

Front

Convert the equation y = -3x - 3 into slope-intercept form.

Back

The equation y = -3x - 3 is already in slope-intercept form, where the slope is -3 and the y-intercept is -3.

Front

What is the slope of the line represented by the equation y = 2x - 5?

Back

The slope of the line represented by the equation y = 2x - 5 is 2.

Front

How can you find the y-intercept from the equation y = 4/5x + 4?

Back

The y-intercept can be found directly from the equation; in this case, it is 4.

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

If the slope of a line is 0, what does this mean about the line?

Back

If the slope of a line is 0, it means the line is horizontal and does not rise or fall as x changes.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables, which can be applied in various contexts such as speed, cost, and growth rates.