Point Slope Formula

Front

What is the Point-Slope Formula?

Back

The Point-Slope Formula is used to find 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 from 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 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 slope of a line that rises 3 units for every 1 unit it runs?

Back

The slope (m) is 3.

Front

If a line has a slope of -2, what does this indicate about its direction?

Back

A slope of -2 indicates that the line falls as it moves from left to right.

Front

What is the equation of a line with a slope of 4 that passes through the point (0, 2)?

Back

The equation is y = 4x + 2.

Front

How do you find the slope between two points (x₁, y₁) and (x₂, y₂)?

Back

The slope (m) is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).

Front

What is the slope of the line that passes through the points (1, 3) and (4, 6)?

Back

The slope is 1, calculated as (6 - 3) / (4 - 1).

Front

What is the y-intercept of the line represented by the equation y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

How do you write the equation of a line in slope-intercept form?

Back

The equation is written as y = mx + b, where m is the slope and b is the y-intercept.