Question

identify the slope-intercept form from the following.

\\(y - y_1 = m(x - x_1)\\)

\\(y = mx + b\\)

Explanation:

Identify the standard linear equation forms

The first equation, \(y - y_1 = m(x - x_1)\), represents the point-slope form of a linear equation, where \(m\) is the slope and \((x_1, y_1)\) is a given point on the line.

Match with slope-intercept form

The second equation, \(y = mx + b\), represents the slope-intercept form of a linear equation, where \(m\) is the slope and \(b\) is the y-intercept.

Answer:

• \(y - y_1 = m(x - x_1)\)
• \(y = mx + b\) (Correct answer)