Writing Slope-Intercept Equations (4-5)

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 the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

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 y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

Front

If a line has a slope of 2, what does this mean?

Back

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

Front

What is the equation of a line with a slope of -1 and a y-intercept of 3?

Back

The equation is y = -1x + 3 or y = -x + 3.

Front

How do you convert the equation y = 3x + 5 to slope-intercept form?

Back

The equation 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

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

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

Back

The slope is -3.