a graph has the points (0, 1) (9, 2) (3, 4) what is the equation for the graph?
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GPT 3.5
To find the equation of the graph, we can use the slope-intercept form of a linear equation, which is given by y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m) using two points from the graph: (0,1) and (9,2).
m = (2 - 1) / (9 - 0) = 1 / 9
Now that we have the slope, we can substitute it along with one of the given points (0,1) into the slope-intercept form to find the y-intercept (b).
1 = (1/9)(0) + b
1 = 0 + b
b = 1
So, the y-intercept is 1.
The equation of the graph is therefore y = (1/9)x + 1.
First, let's find the slope (m) using two points from the graph: (0,1) and (9,2).
m = (2 - 1) / (9 - 0) = 1 / 9
Now that we have the slope, we can substitute it along with one of the given points (0,1) into the slope-intercept form to find the y-intercept (b).
1 = (1/9)(0) + b
1 = 0 + b
b = 1
So, the y-intercept is 1.
The equation of the graph is therefore y = (1/9)x + 1.
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