Graphing Using 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

If m = 2 and b = 5, what is the equation in slope-intercept form?

Back

y = 2x + 5

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 slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.

Front

What is the y-intercept of the line represented by the equation y = 1/2x - 7?

Back

The y-intercept is -7.

Front

How would you write the equation with a slope of -1 and a y-intercept of 4?

Back

y = -1x + 4 or y = -x + 4.

Front

What is the graph of the equation y = 2x + 1?

Back

A straight line that rises steeply, crossing the y-axis at (0, 1).

Front

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

Back

A slope of 0 indicates a horizontal line.