Question

The line shown in the coordinate plane is the graph of the linear equation y=mx+b
.



What is the value of m
in the equation of this line?

m=-3/2
m=-2/3
m=2/3
m=3/2

Answer 1

To determine the value of the slope \( m \) in the equation \( y = mx + b \), we need to observe the line on the coordinate plane. The slope \( m \) represents how much \( y \) changes for a unit change in \( x \).

1. Look for two clear points on the line.
2. Let the coordinates of the two points be \( (x_1, y_1) \) and \( (x_2, y_2) \).
3. Use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

If you can provide the coordinates of two points on the line or a description of its steepness, I can help calculate \( m \) or confirm one of the options from the provided choices:

- \( m = -\frac{3}{2} \)
- \( m = -\frac{2}{3} \)
- \( m = \frac{2}{3} \)
- \( m = \frac{3}{2} \)

Please provide more information about the line, and I will be able to assist further!