Question

find the point slope form from the following.

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

\\(y = mx + b\\)

Explanation:

Identify the standard forms of linear equations

Using the Slope-Intercept Form knowledge point

$$ y = mx + b $$

Define point-slope form

The point-slope form of a linear equation represents a line passing through a specific point \((x_1, y_1)\) with a slope of \(m\):

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

Match with the given options

Comparing the definitions:

• \(y - y_1 = m(x - x_1)\) is the point-slope form.
• \(y = mx + b\) is the slope-intercept form.

Answer:

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