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 convert Point-Slope Form to Slope-Intercept Form?

Back

To convert from Point-Slope Form (y - y_1 = m(x - x_1)) to Slope-Intercept Form (y = mx + b), solve for y.

Front

What is the slope of the line represented by the equation y - 1 = -3(x - 6)?

Back

The slope of the line is -3.

Front

Given the equation y + 2 = \frac{3}{2}(x + 2), what is the slope?

Back

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

Front

If a line has a slope of 2 and passes through the point (4, 3), what is its Point-Slope Form?

Back

The Point-Slope Form is y - 3 = 2(x - 4).

Front

What is the Point-Slope Form of a line with slope -1 that passes through the point (2, 5)?

Back

The Point-Slope Form is y - 5 = -1(x - 2).

Front

How do you find the slope from two points (x_1, y_1) and (x_2, y_2)?

Back

The slope m is calculated as m = \frac{y_2 - y_1}{x_2 - x_1}.

Front

What is the Point-Slope Form of the line that passes through (1, 2) with a slope of 4?

Back

The Point-Slope Form is y - 2 = 4(x - 1).

Front

Convert the equation y - 4 = 5(x + 1) to Slope-Intercept Form.

Back

The Slope-Intercept Form is y = 5x + 1.

Front

What is the Point-Slope Form of a line with slope 3 that passes through the point (-2, -1)?

Back

The Point-Slope Form is y + 1 = 3(x + 2).