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

Back

'm' represents the slope of the line.

Front

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

Back

'b' represents the y-intercept of the line.

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 2, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the y-intercept of the line represented by the equation y = 3x + 5?

Back

The y-intercept is 5.

Front

How can you graph the equation y = 1/2x + 0?

Back

Start at the y-intercept (0,0) and use the slope (1/2) to find another point.

Front

What is the slope of the line represented by the equation y = -4x + 2?

Back

The slope is -4.

Front

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

Back

It indicates that the line is horizontal.

Front

What is the equation of a line with a slope of 3 and a y-intercept of -2?

Back

The equation is y = 3x - 2.