Point-Slope Formula

Front

What is the Point-Slope Formula?

Back

The Point-Slope Formula is used to write the equation of a line given a point (x1, y1) and a slope (m). It is expressed as: y - y1 = m(x - x1).

Front

How do you convert Point-Slope Form to Slope-Intercept Form?

Back

To convert from Point-Slope Form (y - y1 = m(x - x1)) to Slope-Intercept Form (y = mx + b), solve for y.

Front

What is the Slope-Intercept Form of a linear equation?

Back

The Slope-Intercept Form is y = mx + b, where m is the slope and b is the y-intercept.

Front

Given the slope m = 5 and point (-1, -3), what is the equation in Slope-Intercept Form?

Back

y = 5x + 2.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the first step to find the slope between two points (x1, y1) and (x2, y2)?

Back

The first step is to use the formula: m = (y2 - y1) / (x2 - x1).

Front

How do you find the equation of a line given two points?

Back

1. Calculate the slope using m = (y2 - y1) / (x2 - x1). 2. Use one of the points and the slope in the Point-Slope Formula.

Front

What is the significance of the y-intercept (b) in the Slope-Intercept Form?

Back

The y-intercept (b) is the point where the line crosses the y-axis (when x = 0).

Front

Write the Point-Slope Form of the equation for a line with slope -3 through the point (10, 5).

Back

y - 5 = -3(x - 10).

Front

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

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.