Writing Equations from Graphs

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A line with a slope of 0 is horizontal, meaning it does not rise or fall as it moves along the x-axis.

Front

What is the slope of a line that goes down from left to right?

Back

The slope of a line that goes down from left to right is negative.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.

Front

What is the equation of a line with a slope of 1/3 and a y-intercept of -2?

Back

The equation is y = 1/3x - 2.

Front

What does it mean if a line is vertical?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a, where 'a' is a constant.

Front

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

Back

The formula to find the slope is m = (y2 - y1) / (x2 - x1).

Front

What is the significance of crossing out wrong answers in multiple-choice questions?

Back

Crossing out wrong answers increases the chances of selecting the correct answer by eliminating options that are clearly incorrect.