Point-Slope Form Practice

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

If the slope of a line is -4 and it passes through the point (9, -3), what is the equation in point-slope form?

Back

The equation is: y + 3 = -4(x - 9).

Front

How do you convert the equation y - 2 = -4x + 16 into slope-intercept form?

Back

Add 2 to both sides to get y = -4x + 18.

Front

What does the slope (m) represent in the equation of a line?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

Given the points (3, -5) and (5, -1), what is the slope of the line connecting them?

Back

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

Front

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

Back

The point (x₁, y₁) is a specific point on the line that the equation describes.

Front

How can you identify the slope from the equation y - 3 = 2(x + 4)?

Back

The slope m is the coefficient of (x), which is 2 in this case.

Front

What is the first step to write the equation of a line in point-slope form?

Back

Identify a point on the line and the slope of the line.

Front

If a line has a slope of 2 and passes through the point (-4, 3), what is the point-slope form of the equation?

Back

The equation is: y - 3 = 2(x + 4).

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.