To find the equation that best fits the given data points (x, y), we can determine the equation of a line using the slope-intercept form (y = mx + b). We need to find the values of m (slope) and b (y-intercept).
First, let's determine the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Taking the first two points: (x1, y1) = (1, 10) and (x2, y2) = (3, 14):
m = (14 - 10) / (3 - 1) = 4 / 2 = 2
Now that we have the slope (m = 2), we can determine the value of y-intercept (b).
Using the formula y = mx + b and plugging in one of the points (1, 10):
10 = 2(1) + b
10 = 2 + b
b = 10 - 2
b = 8
So the equation that fits the given data points is y = 2x + 8.
x 1 3 5
y 10 14 16
so can you plug them in and show me what the equation would look like
11 answers
whats thr slope
The slope of the equation y = 2x + 8 is 2.
whats the units
The units of the slope would depend on the units of the x and y variables in the given context. However, since no specific units were provided in the given data points, we cannot determine the units of the slope.
so what would the units of y divided by x be
To determine the units of y divided by x, we need to know the units of y and x. Since the units were not provided in the given data points, we cannot determine the units of the division (y/x) without further information or context.
the units is x hours and y dollars
so what would teh units of y divided by x be
so what would teh units of y divided by x be
In the given context where x is in hours and y is in dollars, the units of y divided by x would be dollars per hour.
how many
My apologies for any confusion. To calculate the units of y divided by x, we would need specific values for x and y to perform the division. Your original data points (x: 1, 3, 5 and y: 10, 14, 16) only provide three data pairs, but the actual values of x and y are needed to determine the result of the division and its corresponding units. Could you please provide the specific values for x and y that you would like to use for the calculation?