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 y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

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

Back

y + 7 = -1/4(x - 4)

Front

What does the slope (m) represent in the point-slope form?

Back

The slope (m) 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 2 and passes through the point (3, -4), what is its equation in point-slope form?

Back

y + 4 = 2(x - 3)

Front

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

Back

The slope of the line is 2.

Front

Identify the point that the line y - 3 = 2(x + 4) passes through.

Back

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

Front

How do you convert from point-slope form to slope-intercept form?

Back

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

Front

Write the equation in point-slope form for a line with slope -3 that passes through (10, 5).

Back

y - 5 = -3(x - 10)

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

If the slope of a line is 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.