Respuesta :

y-10=1/3 (x-6)
y-10=1/3x - 2
y=1/3x + 8

The equation in slope intercept form of the line that passes through (6, 10) and is parallel to the graph of y = 1/3x - 1 is; y = ¹/₃x + 8

Writing Equation in Slope Intercept Form

Formula for equation of a coordinate of a line in slope intercept form is;

y - y1 = m(x - x1)

We are given the coordinate as (6, 10) and since it passes through the line y = 1/3x - 1, then we can say that the slope m = 1/3

Thus;

y - 10 = 1/3(x - 6)

y - 10 = x/3 - 2

y = x/3 - 2 + 10

y = ¹/₃x + 8

Read more about slope intercept form of a line at; https://brainly.com/question/1884491

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