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

Identify the point-slope form for the line that contains the point (5, -1) and has a slope of 2.

Back

The point-slope form is: y + 1 = 2(x - 5).

Front

What does the slope represent in the equation y - y₁ = m(x - x₁)?

Back

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

Front

If a line has a slope of -3, what is the point-slope form for the line that passes through the point (5, -1)?

Back

The point-slope form is: y + 1 = -3(x - 5).

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope of the line is -3.

Front

Determine the slope from the equation y - 5 = 3(x + 2).

Back

The slope is 3.

Front

What point lies on the line described by the equation y - 5 = 3(x + 2)?

Back

The point (-2, 5) lies on the line.

Front

Convert the point-slope form y - 3 = 2(x - 1) to slope-intercept form.

Back

The slope-intercept form is: y = 2x + 1.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

How do you find the y-intercept from the point-slope form?

Back

To find the y-intercept, rearrange the point-slope form to slope-intercept form (y = mx + b).