Point-Slope Form

Front

What is the point-slope form of a linear equation?

Back

y - y₁ = m(x - x₁)

Front

How do you identify the slope in the point-slope form equation y + 1 = -3(x - 5)?

Back

The slope is -3.

Front

What does 'm' represent in the point-slope form equation?

Back

The slope of the line.

Front

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

Back

y - 4 = 2(x - 3)

Front

Convert the equation y - 3 = 2(x + 4) to slope-intercept form.

Back

y = 2x + 11

Front

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

Back

It represents a specific point on the line.

Front

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

Back

y - 3 = -1(x - 2)

Front

How can you determine if a point lies on the line represented by the equation y - 5 = 6(x - 11)?

Back

Substitute the point's coordinates into the equation and check if it holds true.

Front

What is the slope of the line represented by the equation y + 3 = 1(x + 2)?

Back

The slope is 1.

Front

Write the point-slope form for a line with a slope of 4 that passes through the point (0, 0).

Back

y - 0 = 4(x - 0) or y = 4x.