The relationship between inches and feet is graphed on a coordinate grid. The vertical axis is labeled
“inches” and the horizontal axis is labeled “feet.” What is the slope of the graph?
change in inches/ change in feet = (12-0) /(1-0) = ?
compare it to y = mx, we know m is the slope
y inches = m x feet
now since 1 foot = 12 inches
y inches = m x (12 inches)
divide by "inches"
y = 12x
state your conclusion.
so is that the answer?
is 12 the answer?
To find the slope of the graph, we need to determine the change in inches divided by the change in feet.
To do this, we can select two points on the graph and calculate the difference in inches and feet between these points.
Let's choose two points: (0, 0) and (1, 12).
The first point (0, 0) represents 0 feet and 0 inches.
The second point (1, 12) represents 1 foot and 12 inches.
To find the change in inches, we subtract the y-coordinate of the first point from the y-coordinate of the second point: 12 - 0 = 12 inches.
To find the change in feet, we subtract the x-coordinate of the first point from the x-coordinate of the second point: 1 - 0 = 1 foot.
Now we can calculate the slope by dividing the change in inches by the change in feet:
slope = change in inches / change in feet
= 12 inches / 1 foot
= 12 inches/foot
So, the slope of the graph is 12 inches/foot.
Note: It's important to recognize that the slope in this case represents the ratio of inches to feet.