Slope-intercept

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 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating the steepness and direction.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.

Front

Write the equation of a line with a slope of -2 and a y-intercept of 5.

Back

The equation is y = -2x + 5.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

What does a negative slope indicate about a line?

Back

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

Front

Convert the equation 3x + 2y = 6 into slope-intercept form.

Back

The slope-intercept form is y = -3/2x + 3.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4.

Front

How do you determine the y-intercept from the equation y = 1/2x - 3?

Back

The y-intercept is -3, which is the constant term.