Point-Slope Form

Front

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

Back

y - y₁ = m(x - x₁)

Front

What does 'm' represent in the point-slope form?

Back

The slope of the line.

Front

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

Back

y = mx + b

Front

What does 'b' represent in the slope-intercept form?

Back

The y-intercept of the line.

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

How do you convert from point-slope form to slope-intercept form?

Back

Isolate y in the equation y - y₁ = m(x - x₁).

Front

Given the point (4, -7) and slope m = -1/4, write the equation in slope-intercept form.

Back

y = -1/4x - 6.

Front

Given the points (3, -5) and (5, -1), write the equation in point-slope form.

Back

y + 5 = 2(x - 3).

Front

What is the first step to find the slope between two points?

Back

Use the formula m = (y₂ - y₁) / (x₂ - x₁).

Front

If a line has a slope of 2 and passes through the point (1, 3), what is the point-slope form?

Back

y - 3 = 2(x - 1).