Final answer:
To solve the slope for the given linear equations, we look at the coefficient of the x variable in each equation. This number is the slope, which indicates the steepness of the line on a graph. The slopes for the provided equations range from 1 to 10.
Step-by-step explanation:
The question involves solving the slope for several linear equations in the form of y = mx + b, where m is the slope and b is the y-intercept. To find the slope of each given equation, we simply look at the coefficient of the x variable in each equation, as that coefficient represents the slope of the line.
Here are the slopes for the provided equations:
y = 1x + 2 → Slope is 1
y = 2x + 4 → Slope is 2
y = 3x + 6 → Slope is 3
y = 4x + 9 → Slope is 4
y = 5x + 8 → Slope is 5
y = 6x + 2 → Slope is 6
y = 7x + 2 → Slope is 7
y = 8x + 4 → Slope is 8
y = 9x + 1 → Slope is 9
y = 10x + 6 → Slope is 10
The provided Figure A1 example refers to a line with a slope of 3, representing a rise of 3 on the vertical axis for every increase of 1 on the horizontal axis. This concept is fundamental in understanding the algebra of straight lines and how the slope impacts the steepness of the line.