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

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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

Given the equation y - 3 = 2(x + 4), what point does the line contain?

Back

The line contains the point (-4, 3).

Front

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

Back

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

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

Back

The point-slope form is y + 3 = 1(x + 2).

Front

If a line has a slope of 1/2, what is the equation of a line parallel to it through the point (3, 1)?

Back

The equation is y - 1 = 1/2(x - 3).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by b in the slope-intercept form.