Writing Equations of a Line Practice

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you write the equation of a line in slope-intercept form?

Back

The equation is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3.

Front

Given the slope m = 1/2 and a point (2, 3), what is the equation of the line?

Back

y = 1/2x + 2.

Front

What is the point-slope form of a line's equation?

Back

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

Front

If a line has a slope of -3 and passes through the point (1, 4), what is the equation of the line?

Back

y = -3x + 7.