Point slope form

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

Write the equation in point-slope form of the line that passes through the point (3, 4) with a slope of 2.

Back

y - 4 = 2(x - 3)

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

Convert the equation y - 1 = 3(x + 2) to slope-intercept form.

Back

y = 3x + 7

Front

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

Back

y - 3 = -1(x - 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

Write the equation in point-slope form of the line that passes through the point (-1, 2) with a slope of 7.

Back

y - 2 = 7(x + 1)

Front

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

Back

The slope is 2.

Front

Identify a point that lies on the line represented by the equation y - 3 = 2(x + 4).

Back

(-4, 3) is a point on the line.

Front

What is the relationship between point-slope form and slope-intercept form?

Back

Point-slope form can be converted to slope-intercept form (y = mx + b) by solving for y.