G 3.5 Slope & Writing Equations of Lines

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is the y-coordinate of any point on the line.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope 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 does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Write the equation of the line with slope 2 and y-intercept 3.

Back

y = 2x + 3

Front

Write the equation of the line with slope -1 and y-intercept 4.

Back

y = -1x + 4 or y = -x + 4

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Write the equation of the line with slope 0 through the point (5, 2).

Back

y = 2