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

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does 'b' represent in the equation y = mx + b?

Back

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

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is -5.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

If the slope of a line is undefined, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of the line represented by the equation y = 3x + 1?

Back

The slope is 3.

Front

How can you graph the equation y = -2x + 4?

Back

Start at the y-intercept (0, 4) and use the slope (-2) to find another point: go down 2 units and right 1 unit.

Front

What is the equation of a line with a slope of 1 and a y-intercept of 2?

Back

The equation is y = 1x + 2 or simply y = x + 2.