Writing Equations from a Graph

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

How do you identify the slope from a graph?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on the line.

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 slope-intercept form.

Front

Given the slope -4 and y-intercept -4, what is the equation of the line?

Back

y = -4x - 4

Front

Identify the slope in the equation y = 2x + 4.

Back

The slope is 2.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = k, where k is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = k, where k is a constant.

Front

How do you convert a linear equation from standard form to slope-intercept form?

Back

To convert from Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/B).

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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