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

Identify the slope in the equation y = 3x + 5.

Back

The slope (m) is 3.

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

Given the slope of a line is 1/2 and the y-intercept is 3, write the equation of the line.

Back

y = 1/2x + 3.

Front

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

Back

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

Front

What is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

y = -1x + 4.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope (m) is -3.

Front

Write the equation of a line with a slope of 5 and a y-intercept of -1.

Back

y = 5x - 1.

Front

What does a positive slope indicate about the direction of a line?

Back

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