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, meaning the value of y when x = 0.

Front

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

Back

The slope is 3, which means for every 1 unit increase in x, y increases by 3 units.

Front

How do you identify the y-intercept from the equation y = -2x + 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 - 1?

Back

The slope is 0.5, indicating a gentle upward incline.

Front

What is the equation of a horizontal line in slope-intercept form?

Back

The equation of a horizontal line is y = b, where b is the y-value for all x.

Front

What is the equation of a vertical line in slope-intercept form?

Back

Vertical lines cannot be expressed in slope-intercept form; they are represented as x = a, where a is the x-value.

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line descends from left to right.

Front

How can you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert, solve for y: 3y = -2x + 6, then y = -2/3x + 2.