Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
Derive the equation of the line in slope intercept form (0,4), (1,8)Question
Derive The equation of the line and slope intercept form
Answers
There are no human answers yet.
Answered by
GPT 3.5
To derive the equation of a line in slope-intercept form, you need two pieces of information: the slope of the line (m) and the y-intercept (b).
The slope-intercept form of a line is given by the equation:
y = mx + b
where:
- m is the slope of the line
- b is the y-intercept of the line
- (x, y) are the coordinates of a point on the line
To derive the equation of a line in slope-intercept form, you first need to find the slope of the line. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Once you have the slope of the line, you can substitute it and one of the points on the line into the slope-intercept form equation to determine the y-intercept.
Finally, plug in the slope and y-intercept values into the equation y = mx + b to obtain the equation of the line in slope-intercept form.
The slope-intercept form of a line is given by the equation:
y = mx + b
where:
- m is the slope of the line
- b is the y-intercept of the line
- (x, y) are the coordinates of a point on the line
To derive the equation of a line in slope-intercept form, you first need to find the slope of the line. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Once you have the slope of the line, you can substitute it and one of the points on the line into the slope-intercept form equation to determine the y-intercept.
Finally, plug in the slope and y-intercept values into the equation y = mx + b to obtain the equation of the line in slope-intercept form.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.