slope intercept form

Front

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

Back

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

Front

What does the slope (m) represent in the slope-intercept form?

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 the slope-intercept form?

Back

The y-intercept (b) 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 = 3/2x + 3?

Back

The slope is 3/2.

Front

How do you identify the y-intercept from the equation y = 3/2x + 3?

Back

The y-intercept is (0, 3).

Front

Write the slope-intercept form of the line with a slope of -2 and a y-intercept of 4.

Back

y = -2x + 4.

Front

If a line has a slope of 1/4, what does this indicate about the line's steepness?

Back

A slope of 1/4 indicates a gentle incline; for every 4 units moved horizontally, the line rises 1 unit.

Front

What is the slope of the line represented by the equation y = -4x - 5?

Back

The slope is -4.

Front

What is the y-intercept of the line represented by the equation y = -4x - 5?

Back

The y-intercept is (0, -5).

Front

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

Back

The equation is already in slope-intercept form: y = -3x + 2.