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 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

Write the slope-intercept form of a line with a slope of -2 and a y-intercept of 5.

Back

y = -2x + 5

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

Convert the equation 2x + 3y = 6 into slope-intercept form.

Back

y = -2/3x + 2

Front

What is the slope of the line represented by the equation y = 1/4x - 3?

Back

The slope of the line is 1/4.

Front

What is the y-intercept of the line represented by the equation y = -5x + 1?

Back

The y-intercept of the line is 1.

Front

Write the equation of a line with a slope of 3 and a y-intercept of -4.

Back

y = 3x - 4