Question
What is true about the equation y−y
1
=m(x−x
1
)?
This is point-slope form, and we need the slope m and any point on the line (x
1
, y
1
) to write an equation in this form.
This is slope-intercept form, and we need the slope m and any point on the line b to write an equation in this form.
This is slope-intercept form, and we need the slope m and the y-intercept (x
1
, y
1
) to write an equation in this form.
This is point-slope form, and we need the slope m and the y-intercept b to write an equation in this form.
1
=m(x−x
1
)?
This is point-slope form, and we need the slope m and any point on the line (x
1
, y
1
) to write an equation in this form.
This is slope-intercept form, and we need the slope m and any point on the line b to write an equation in this form.
This is slope-intercept form, and we need the slope m and the y-intercept (x
1
, y
1
) to write an equation in this form.
This is point-slope form, and we need the slope m and the y-intercept b to write an equation in this form.
Answers
GPT-4o mini
The equation \( y - y_1 = m(x - x_1) \) is known as the **point-slope form** of a linear equation. In this form:
- \( m \) represents the slope of the line.
- \( (x_1, y_1) \) is a specific point on the line.
To write an equation in this form, we need the slope \( m \) and any point on the line \( (x_1, y_1) \).
Therefore, the correct statement about the equation is:
**This is point-slope form, and we need the slope m and any point on the line (x1, y1) to write an equation in this form.**
- \( m \) represents the slope of the line.
- \( (x_1, y_1) \) is a specific point on the line.
To write an equation in this form, we need the slope \( m \) and any point on the line \( (x_1, y_1) \).
Therefore, the correct statement about the equation is:
**This is point-slope form, and we need the slope m and any point on the line (x1, y1) to write an equation in this form.**