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 slope-intercept form?

Back

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

Front

What does 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, 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) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is 3, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 3 units.

Front

What is the y-intercept of the equation y = 4x + 5?

Back

The y-intercept is 5.

Front

How can you convert the equation y = 2x + 3 into slope-intercept form?

Back

It is already in slope-intercept form: y = mx + b.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.

Front

Write the equation of a line with a slope of 2 and a y-intercept of -3.

Back

The equation is y = 2x - 3.

Front

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

Back

It indicates that the line is horizontal.