Question

a line has a slope of -7 and passes through the point (1, 3). what is its equation in point - slope form? use the specified point in your equation. write your answer using integers, proper fractions, and improper fractions. simplify all fractions.
y - square = square (x - square)

Explanation:

Step1: Recall Point - Slope Formula

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

Step2: Identify \(m\), \(x_1\) and \(y_1\)

We are given that the slope \(m=- 7\) and the line passes through the point \((1,3)\). So, \(x_1 = 1\) and \(y_1=3\).

Step3: Substitute into the Formula

Substitute \(m=-7\), \(x_1 = 1\) and \(y_1 = 3\) into the point - slope formula \(y - y_1=m(x - x_1)\). We get \(y-3=-7(x - 1)\).

Answer:

\(y - 3=-7(x - 1)\) (So the blanks are filled as: \(y-3=-7(x - 1)\), with the first blank being \(3\), the second blank being \(-7\) and the third blank being \(1\))