Point Slope Form & Standard Form

Front

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

Back

The point-slope form is given by the equation: 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 point-slope form to slope-intercept form?

Back

To convert, solve for y: y - y1 = m(x - x1) becomes y = mx - mx1 + y1.

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

How do you find the x-intercept of a linear equation?

Back

Set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the slope of a line?

Back

The slope (m) is a measure of the steepness of a line, calculated as the rise over run (change in y over change in x).

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases, resulting in a line that falls from left to right.

Front

What does it mean if the slope of a line is positive?

Back

A positive slope indicates that as x increases, y also increases, resulting in a line that rises from left to right.

Front

How do you write an equation in point-slope form given a point and slope?

Back

Use the formula y - y1 = m(x - x1), substituting the given point (x1, y1) and slope m.

Front

What is the relationship between standard form and slope-intercept form?

Back

Standard form can be converted to slope-intercept form (y = mx + b) by solving for y.