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, representing the value of y when x = 0.

Front

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

Back

y = 2x + 3

Front

If a line has a slope of -1 and a y-intercept of 4, what is its equation?

Back

y = -1x + 4

Front

What is the slope of the line represented by the equation y = 5x - 2?

Back

The slope is 5.

Front

What is the y-intercept of the line represented by the equation y = -3x + 1?

Back

The y-intercept is 1.

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

Write the equation of a line with a slope of -4 and passing through the point (0, -3).

Back

y = -4x - 3

Front

What is the equation of a line when m = 1/2 and b = -6?

Back

y = 1/2x - 6