Writing Equations from a Graph

Front

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

Back

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

Front

How do you identify the slope from a linear equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

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

Back

The y-intercept represents the point where the line crosses the y-axis, which is the value of y when x = 0.

Front

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

Back

A slope of -4 indicates that the line is decreasing; for every 1 unit increase in x, y decreases by 4 units.

Front

How can you find the equation of a line given the slope and y-intercept?

Back

You can find the equation by substituting the slope (m) and y-intercept (b) into the slope-intercept form: y = mx + b.

Front

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

Back

The slope of the line is -1/3.

Front

What is the y-intercept of the line represented by the equation y = 2x + 4?

Back

The y-intercept of the line is 4.

Front

How do you convert the slope-intercept form to standard form?

Back

To convert to standard form, rearrange the equation to the form Ax + By = C, where A, B, and C are integers.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.