Question

1. write the equation of a line going through the point (7, 8) with a sl

equation:

1. write the equation of a line going through the point (3, 2) and has a

equation:
what are the equations and slopes of the lines shown on the grid?
7.
equation:
slope:
use the coordinates provided to fill in the missing values for point - slope

1. point: (3, 7)

slope: $\frac{1}{2}$
$y - y_1 = m (x - x_1)$

1. point: (-2, 5)

slope: $-\frac{3}{4}$
$y - y_1 = m (x - x_1)$
11.

Explanation:

Step1: Analyze the line's nature

The line is horizontal (parallel to the x - axis). For a horizontal line, the equation is of the form \(y = k\), where \(k\) is the y - coordinate of any point on the line. Looking at the graph, the line passes through points with \(y=-3\) (we can check the grid, the line is at \(y = - 3\)).

Step2: Determine the slope of a horizontal line

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). For a horizontal line, \(y_2=y_1\), so \(m=\frac{y_1 - y_1}{x_2 - x_1}=\frac{0}{x_2 - x_1}=0\).

Answer:

Equation: \(y=-3\)
Slope: \(0\)