Linear Equations: 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

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

Identify the slope and y-intercept in the equation y = -2x + 5.

Back

Slope (m) = -2, Y-intercept (b) = 5.

Front

What is the slope in the equation y = 3x - 1?

Back

The slope is 3.

Front

What is the y-intercept in the equation y = 4x + 2?

Back

The y-intercept 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 slope of the line represented by the equation y = -rac{1}{2}x + 3?

Back

The slope is -rac{1}{2}.

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.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.