Slope - Intercept Form Flashcard

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 the equation y = mx + b?

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 equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

Convert the equation -10x + 2y = 14 to slope-intercept form.

Back

y = 5x + 7.

Front

What is the slope of the line represented by the equation y = -2x?

Back

The slope is -2.

Front

How do you graph the equation y = -3?

Back

Draw a horizontal line at y = -3.

Front

Which of the following is NOT in slope-intercept form? y = mx + b, Ax + By = C, y - y1 = m(x - x1)

Back

Ax + By = C is NOT in slope-intercept form.

Front

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

Back

A slope of 4 indicates that for every 1 unit increase in x, y increases by 4 units, making the line steep.

Front

What is the y-intercept of the line represented by the equation y = 4x + 3?

Back

The y-intercept is 3.

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).