Write the Equation of a Line Using Two Given Points

Front

What is the formula to find the slope (m) of a line given 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 point-slope form of a linear equation?

Back

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

Front

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

Back

To convert to slope-intercept form (y = mx + b), solve for y in the point-slope equation.

Front

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

Back

The slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 2 and passes through the point (3, 4), what is the equation of the line in slope-intercept form?

Back

The equation is y = 2x - 2.

Front

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

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

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

Back

A slope of zero indicates a horizontal line, meaning y remains constant regardless of x.

Front

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

Back

An undefined slope indicates a vertical line, where x remains constant regardless of y.

Front

How do you find the y-intercept of a line given its equation in standard form Ax + By = C?

Back

To find the y-intercept, set x = 0 and solve for y.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts.