Slope Intercept Form

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you identify the slope from the equation y = 2x + 3?

Back

The slope is 2, which means for every 1 unit increase in x, y increases by 2 units.

Front

How do you identify the y-intercept from the equation y = -3x + 4?

Back

The y-intercept is 4, meaning the line crosses the y-axis at the point (0, 4).

Front

What is the slope of the line represented by the equation y = 0.5x - 5?

Back

The slope is 0.5.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 2?

Back

The equation is y = -1x + 2.

Front

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

Back

A slope of 3 indicates the line is steep, rising 3 units for every 1 unit it moves to the right.

Front

How can you convert the equation y = 4x - 1 into slope-intercept form?

Back

The equation is already in slope-intercept form: y = mx + b.

Front

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

Back

The slope is -2.