Point-Slope Form

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

If m = 5 and the point is (2, 4), what is the point-slope equation?

Back

The point-slope equation is: y - 4 = 5(x - 2).

Front

How do you identify the point-slope equation from a graph?

Back

Look for a point (x₁, y₁) on the line and the slope m. Use the formula y - y₁ = m(x - x₁).

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope is given by m = 3/4.

Front

Write the point-slope form for the line passing through (-2, -1) with a slope of -3.

Back

The point-slope form is: y + 1 = -3(x + 2).

Front

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

Back

In the point-slope form, 'm' represents the slope of the line.

Front

How can you convert point-slope form to slope-intercept form?

Back

To convert, solve for y: y = mx + (y₁ - mx₁).

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 equation.

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.