What is true about the equation y−y

Question

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.

Answer 1

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.