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 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 represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

In the equation y = 4x + 3, what is the slope?

Back

The slope is 4.

Front

In the equation y = 6x + 10, what is the y-intercept?

Back

The y-intercept is 10.

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

What is the y-intercept of the line represented by the equation y = -2x + 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

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

Back

The slope is -3.

Front

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

Back

A slope of 0 indicates that the line is horizontal.