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 the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

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

Back

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

Front

Write the equation of a line with a slope of 2/3 and a y-intercept of -3.

Back

The equation is y = (2/3)x - 3.

Front

What is the slope of the line represented by the equation y = 1/4x + 2?

Back

The slope is 1/4.

Front

If a line has a slope of 19 and a y-intercept of 4/5, what is the equation of the line?

Back

The equation is y = 19x + 4/5.

Front

Which of the following represents a horizontal line?

Back

The equation y = c, where c is a constant, represents a horizontal line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

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

Front

What type of line does the equation y = 3 represent?

Back

The equation y = 3 represents a horizontal line at y = 3.