Point-Slope Form Practice

Front

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

Back

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

Front

How do you convert a slope and a point into point-slope form?

Back

To convert a slope (m) and a point (x1, y1) into point-slope form, use the formula: y - y1 = m(x - x1). Substitute the values of m, x1, and y1 into the formula.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).

Front

Given a slope of -12 and a point (-4, -5), what is the point-slope form of the line?

Back

The point-slope form is y + 5 = -12(x + 4).

Front

How do you find the slope between two points?

Back

The slope (m) between two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the point in point-slope form?

Back

The point in point-slope form (x1, y1) is a specific point on the line that the equation represents. It is used to anchor the line in the coordinate plane.

Front

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

Back

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

Front

What is the slope of the equation y - 2 = -6(x + 6)?

Back

The slope of the equation is -6.

Front

If a line has a slope of 1 and passes through the point (2, 3), what is its point-slope form?

Back

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

Front

What happens to the point-slope form if the slope is zero?

Back

If the slope is zero, the line is horizontal, and the point-slope form simplifies to y = y1, where y1 is the y-coordinate of the point.