slope-intercept, point-slope, standard 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 the 'm' represent in the slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating its steepness and direction.

Front

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

Back

In the equation y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the point-slope form of a linear equation?

Back

The 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 standard form to slope-intercept form?

Back

To convert from Ax + By = C to slope-intercept form, solve for y to get y = -A/B * x + C/B.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

The slope of the line is 2.

Front

How do you find the y-intercept from the equation y = -3x + 4?

Back

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

Front

What is the slope of the line represented by the equation 3x + 4y = 12?

Back

To find the slope, convert to slope-intercept form: 4y = -3x + 12, so y = -3/4x + 3, slope is -3/4.

Front

What does it mean if the slope of a line is positive?

Back

A positive slope means that as x increases, y also increases, indicating an upward trend.