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 m is the slope and (x₁, y₁) is a point on the line.

Front

How do you identify the slope from the point-slope form equation y - y₁ = m(x - x₁)?

Back

The slope (m) is the coefficient of (x - x₁) in the equation.

Front

Given the equation y - 3 = 2(x + 4), what is the slope of the line?

Back

The slope of the line is 2.

Front

For the equation y - 3 = 2(x + 4), what point does the line pass through?

Back

The line passes through the point (-4, 3).

Front

Convert the equation y + 5 = -3(x - 6) to slope-intercept form.

Back

The slope-intercept form is y = -3x + 13.

Front

What does the term 'slope' represent in a linear equation?

Back

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

Front

If a line has a slope of -1/4, what does this indicate about its direction?

Back

A slope of -1/4 indicates that for every 4 units the line moves to the right, it moves down 1 unit.

Front

Write the point-slope form of the line that passes through (4, -7) with a slope of -1/4.

Back

The point-slope form is y + 7 = -1/4(x - 4).

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 used to define the line's position.

Front

How can you determine if a point lies on the line represented by the equation y - 3 = 2(x + 4)?

Back

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.