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

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

Back

y = 3x + 2

Front

If a line has a slope of -1, what does this indicate about the line's direction?

Back

A slope of -1 indicates that the line descends from left to right.

Front

Convert the equation y = 4x - 7 into slope-intercept form.

Back

The equation is already in slope-intercept form: y = 4x - 7.

Front

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

Back

The slope of the line is -2.

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 0?

Back

The equation is y = b, where b is a constant, indicating a horizontal line.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is a constant.