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 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 is the point where the line crosses the y-axis, represented as (0, b).

Front

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

Back

The slope is 3.

Front

How do you identify the y-intercept from the equation y = -2x + 5?

Back

The y-intercept is 5, represented as the point (0, 5).

Front

Write the slope-intercept form for the equation of a line with a slope of 4 and a y-intercept of -1.

Back

y = 4x - 1.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line.

Front

If a line has a negative slope, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

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

Back

Rearranging gives y = -2/3x + 2.