Point-Slope Form

Front

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

Back

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

Front

How do you identify the slope from a point-slope equation?

Back

In the equation y - y₁ = m(x - x₁), the slope m is the coefficient of (x - x₁).

Front

Convert the point-slope equation y - 3 = 2(x + 4) to slope-intercept form.

Back

y = 2x + 11.

Front

What does the 'm' represent in the point-slope form?

Back

The 'm' represents the slope of the line.

Front

Given the point (2, 3) and slope 4, write the equation in point-slope form.

Back

y - 3 = 4(x - 2).

Front

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

Back

It is a specific point through which the line passes.

Front

If a line has a slope of -1 and passes through the point (1, 2), what is the point-slope form?

Back

y - 2 = -1(x - 1).

Front

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

Back

Rearrange the equation to the form Ax + By = C.

Front

What is the slope of the line represented by the equation y - 4 = 3(x + 2)?

Back

The slope is 3.

Front

If the equation of a line is y + 1 = -2(x - 3), what is the y-intercept?

Back

The y-intercept is -5.