Answer:
y = 2/3x +5
Explanation:
You want the linear function relating y to x, given (x, y) = (-3, 3) and (0, 5).
Slope
The slope of the line through the given points can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (5 -3)/(0 -(-3)) = 2/3
Intercept
The y-intercept of the line is the value of y when x=0. This value is 5, as given by the second point in the table.
Slope-intercept equation
The slope-intercept equation of a line is ...
y = mx +b . . . . . m is the slope; b is the y-intercept
Using the values we found above, the function is ...
y = 2/3x + 5
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