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 convert from point-slope form to slope-intercept form?

Back

To convert, solve for y in the point-slope form equation: y - y₁ = m(x - x₁) to get y = mx + b.

Front

What is the slope of the line that passes through the points (3, -5) and (5, -1)?

Back

The slope m is calculated as m = (y₂ - y₁) / (x₂ - x₁) = (-1 - (-5)) / (5 - 3) = 2.

Front

Write the point-slope form for the line that contains the points (3, -5) and (5, -1).

Back

y + 5 = 2(x - 3).

Front

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

Back

The variable 'm' represents the slope of the line.

Front

What is the standard form of a linear equation?

Back

The standard form is given by Ax + By = C, where A, B, and C are integers.

Front

Write the point-slope form for the line that contains the points (-2, -3) and (4, 3).

Back

y + 3 = 1(x + 2).

Front

What is the relationship between point-slope form and slope-intercept form?

Back

Point-slope form can be converted to slope-intercept form by isolating y.

Front

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

Back

The slope-intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

To find the y-intercept, set x = 0 in the point-slope form equation and solve for y.