Slope-Intercept Form, Point-Slope Form, Standard Form

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

What does the slope in a linear equation represent?

Back

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

Front

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

Back

The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

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

Back

To convert to standard form (Ax + By = C), rearrange the equation to get all terms on one side.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers and A should be non-negative.

Front

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

Back

y - 3 = 2(x - 1)