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 the slope (m). It is expressed as: y - y₁ = m(x - x₁).

Front

How do you find the slope between two points?

Back

The slope (m) between two points (x₁, y₁) and (x₂, y₂) is calculated using the formula: m = (y₂ - y₁) / (x₂ - x₁).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is: y = mx + b, where m is the slope and b is the y-intercept.

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 is the y-intercept of the line y = 2x + 3?

Back

The y-intercept is the point where the line crosses the y-axis, which is (0, 3) in this case.

Front

Given the points (1, 2) and (3, 6), what is the slope?

Back

The slope (m) is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

If a line has a slope of -3, what does this tell you about its direction?

Back

A slope of -3 indicates that the line descends from left to right.

Front

How do you write the equation of a line given a slope of 4 and a point (2, 1)?

Back

Using the point-slope formula: y - 1 = 4(x - 2), which simplifies to y = 4x - 7.