Question

Given the graph of a linear function, find the linear equation of the graph in point-slope form. What is the missing value needed to finish the point-slope form of the equation?

(1 point)
The point-slope form of the equation is y−
y
−
=−3(x−1)
=
−
3
(
x
−
1
)
.

Answer 1

The point-slope form of a linear equation is given by the formula:

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

where:
- \((x_1, y_1)\) is a point on the line,
- \(m\) is the slope of the line.

In your example, the equation given is:

\[
y - y_1 = -3(x - 1)
\]

From this, we can identify the slope \(m = -3\) and the x-coordinate of the point \(x_1 = 1\).

To find the missing value \(y_1\), we need to know the y-coordinate of the point on the graph where \(x = 1\). Once we have \(y_1\), we can complete the point-slope form of the equation.

Without additional information about the specific \(y\) value at \(x = 1\), we cannot determine \(y_1\). However, if the graph of the function is available and shows the value of \(y\) at \(x = 1\), insert that value for \(y_1\) to complete the point-slope equation.

If you have the y-coordinate value at \(x = 1\), please provide it so that we can complete the point-slope form. Otherwise, the value remains undetermined until that information is known.