Slope-Intercept Form of a Line Edgenuity Answers
The slope-intercept form of a line is a mathematical equation that can be used to represent the graph of a straight line. This form of the equation is written as y = mx + b, where m is the slope of the line and b is the y-intercept.
The slope of a line is a measure of how steep the line is. It is calculated by dividing the change in y-values by the change in x-values between two points on the line. The y-intercept is the point on the line where it crosses the y-axis.
To find the slope-intercept form of a line, you can use the following steps:
- Find two points on the line.
- Calculate the slope of the line using the following formula:
m = (y2 - y1) / (x2 - x1) - Substitute the slope and the y-intercept into the slope-intercept form of the equation.
For example, consider the line that passes through the points (2, 5) and (4, 9). The slope of this line can be calculated as follows:
m = (9 - 5) / (4 - 2) = 4 / 2 = 2 The y-intercept of this line is 5, so the slope-intercept form of the equation is:
y = 2x + 5 Edgenuity uses the slope-intercept form of the equation to represent lines in its math courses. The following are some questions that may be asked on Edgenuity exams about the slope-intercept form of a line:
- What is the slope of the line represented by the equation y = 2x + 3?
The answer to this question is 2. To solve, simply substitute the given equation into the slope-intercept form of the equation.
y = m * x + b 2x + 3 = m * x + b 2 = m Therefore, the slope of the line is 2.
- What is the y-intercept of the line represented by the equation y = 3x – 4?
The answer to this question is -4. To solve, simply substitute the given equation into the slope-intercept form of the equation.
y = m * x + b 3x - 4 = m * x + b -4 = b Therefore, the y-intercept of the line is -4.
- What is the equation of the line that passes through the points (-2, 5) and (3, 7)?
To solve this question, we can use the following steps:
- Calculate the slope of the line.
- Substitute the slope and the y-intercept into the slope-intercept form of the equation.
The slope of the line can be calculated as follows:
m = (7 - 5) / (3 - (-2)) = 2 / 5 The y-intercept of the line is 5, so the equation of the line is:
y = (2 / 5) * x + 5 Therefore, the equation of the line is y = (2/5)x + 5.
These are just a few examples of questions that may be asked on Edgenuity exams about the slope-intercept form of a line. By understanding the slope-intercept form of the equation, you can be prepared to answer these questions and succeed on your Edgenuity exams.
