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 find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

y = 4x + 2.

Front

What is the slope of the line represented by the equation y = -3x + 6?

Back

The slope is -3.

Front

What is the y-intercept of the equation y = 5x - 7?

Back

The y-intercept is -7.

Front

Which of the following represents slope-intercept form?

Back

y = mx + b.

Front

What is the equation of a line in slope-intercept form if the slope is -2 and the y-intercept is 5?

Back

y = -2x + 5.

Front

If a line has a slope of 1/2, what does this indicate about the line's steepness?

Back

The line rises 1 unit for every 2 units it runs, indicating a gentle slope.