Question

a line intersects the points \\((4, 3)\\) and \\((11, -4)\\).

\\m = -1\\

write the equation of this line in point-slope form using the point \\((4, 3)\\).

\\y - ? = \box (x - \box)\\

Explanation:

Identify the point-slope formula

The point-slope form of a linear equation is:

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

where \(m\) is the slope and \((x_1, y_1)\) is a given point on the line.

Substitute the given values

Using the Slope Calculation and Slope-Intercept Form knowledge points

$$
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Identify the missing value in the first box

The question asks for the value in the box containing the question mark:

$$y - [?] = \Box(x - \Box)$$

Comparing this to \(y - 3 = -1(x - 4)\), the value in the first box is \(3\).

Answer:

A line intersects the points \((4, 3)\) and \((11, -4)\).
\(m = -1\)

Write the equation of this line in point-slope form using the point \((4, 3)\).

\(y -\) <blank>3</blank> \(= -1(x - 4)\)