Point-Slope Form

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

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

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

What is the slope of the line represented by the equation y + 5 = -3(x - 6)?

Back

The slope of the line is -3.

Front

What is the y-intercept of the line y = -3x + 13?

Back

The y-intercept is 13.

Front

What is the equation of a line with a slope of 2 that passes through the point (1, 3)?

Back

Using point-slope form: y - 3 = 2(x - 1).

Front

Identify the incorrect point-slope equation: y - 0 = 1/2(x + 2), y - 1 = 1/2(x - 0), y + 2 = 1/2(x + 2), y - 2 = 1/2(x - 2).

Back

The incorrect equation is y + 2 = 1/2(x + 2).

Front

What is the point-slope form of the line that passes through (3, -4) with a slope of 3?

Back

The point-slope form is y + 4 = 3(x - 3).

Front

How do you graph the equation y - 4 = -1(x + 2)?

Back

Start at the point (-2, 4) and use the slope of -1 to find another point.

Front

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

Back

The point (x1, y1) is a specific point on the line used to define the line's equation.