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 identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x, represented by m.

Front

What is point-slope form of a linear equation?

Back

Point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from slope-intercept form to point-slope form?

Back

Identify a point (x1, y1) on the line and use the slope m to write the equation in point-slope form.

Front

What is the y-intercept of the equation y = 3x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

Given the equation y - 2 = 3(x - 1), what is the slope?

Back

The slope is 3.

Front

What is the significance of the point (x1, y1) in point-slope form?

Back

It represents a specific point on the line used to define the line's equation.

Front

How do you find the y-intercept from the point-slope form equation y - 4 = ½(x - 8)?

Back

Rearrange to slope-intercept form: y = ½x + 0, so the y-intercept is 0.

Front

What is the slope of the line represented by the equation y + 5 = -2(x - 3)?

Back

The slope is -2.