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).

Tags

CCSS.8.EE.B.5

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).

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope of the equation is -6.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3