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 - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

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

Back

In the equation y - y_1 = m(x - x_1), the slope m is the coefficient of (x - x_1).

Front

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

Back

The slope is 2.

Front

What point does the equation y - 3 = 2(x + 4) pass through?

Back

The point is (-4, 3).

Front

Convert the point (5, -1) and slope 2 into point-slope form.

Back

The point-slope form is y + 1 = 2(x - 5).

Front

What is the slope of the line represented by the equation y - 5 = 3(x + 2)?

Back

The slope is 3.

Front

Identify a point on the line y - 5 = 3(x + 2).

Back

The point is (-2, 5).

Front

For the equation y + 5 = -3(x - 6), what is the slope?

Back

The slope is -3.

Front

Which point lies on the line y + 5 = -3(x - 6)?

Back

The point is (6, -5).

Front

What is the slope of the line represented by the equation y - 1 = rac{3}{2}(x - 4)?

Back

The slope is \frac{3}{2}.