Writing Equations from a Graph

Front

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

Back

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

Front

How do you identify the slope from the equation y = 4x + 3?

Back

The slope (m) is 4.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If a line has a slope of -1/4, what does this indicate about its direction?

Back

The line descends from left to right.

Front

What is the equation of a vertical line that passes through x = -2?

Back

The equation is x = -2.

Front

What is the equation of a horizontal line that passes through y = -1?

Back

The equation is y = -1.

Front

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

Back

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

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of the line represented by the equation y = -1x + 3?

Back

The slope is -1.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope is positive, the line is increasing; if negative, the line is decreasing.