Unit 4 Review for Flashcard 4-1

Front

What is the definition of slope in mathematics?

Back

Slope is defined as the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

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

Back

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

Front

If m=3 and b=6, what is the slope-intercept equation?

Back

y = 3x + 6

Front

How do you convert the equation x - 3y = 6 into slope-intercept form?

Back

The slope-intercept form is y = 1/3x - 2.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the equation of a line with an undefined slope that goes through the point (-3,5)?

Back

x = -3

Front

In the equation y = 2x + 3, what is the slope?

Back

The slope is 2.

Front

What is the rise in the slope formula?

Back

Rise refers to the vertical change between two points on a line.

Front

What is the run in the slope formula?

Back

Run refers to the horizontal change between two points on a line.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).