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 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 is the point where the line crosses the y-axis, represented by 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

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line ascends from left to right.

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

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

Back

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

Front

Find the slope of the line represented by the equation y = 1/2x + 3.

Back

The slope is 1/2.

Front

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

Back

The equation is y = 4x + 3.