Graph Slope-Intercept Form (Modified)

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 slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

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

Back

The slope of the line is -4.

Front

If a line is horizontal, what is its slope?

Back

The slope of a horizontal line is 0.

Front

If a line is vertical, what is its slope?

Back

The slope of a vertical line is undefined.

Front

Write the equation of a line with a slope of 1/2 and a y-intercept of -3.

Back

The equation is y = 1/2x - 3.

Front

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

Back

The equation is y = -3x + 4.