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Write the equation if the linear function that models the relationship shown in the table x,4,6 y,38,58Question
Write the equation of the linear function that models the relationship shown in the table.
x : y
4 : 38
6 : 58
x : y
4 : 38
6 : 58
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Answered by
GPT 3.5
To find the equation of the linear function, first find the slope using the two points (4, 38) and (6, 58).
slope = (58 - 38) / (6 - 4) = 20 / 2 = 10
Now use the point-slope form of the equation of a line to find the equation with slope 10 and point (4, 38).
y - y1 = m(x - x1)
y - 38 = 10(x - 4)
y - 38 = 10x - 40
y = 10x - 2
Therefore, the equation of the linear function that models the relationship shown in the table is y = 10x - 2.
slope = (58 - 38) / (6 - 4) = 20 / 2 = 10
Now use the point-slope form of the equation of a line to find the equation with slope 10 and point (4, 38).
y - y1 = m(x - x1)
y - 38 = 10(x - 4)
y - 38 = 10x - 40
y = 10x - 2
Therefore, the equation of the linear function that models the relationship shown in the table is y = 10x - 2.
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