Question

Write the equation of a line in point-slope form that passes through (5, 6) and has a slope 1/2

help as soon as possibly

Answer 1

Answer:
`y - 6 = (1)/(2)(x - 5)`

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Step-by-step explanation:

To get this answer, we start off with this general template

`y - y_1 = m(x - x_1)`

which is the point-slope form. The m is the placeholder for the slope. The (x1,y1) is the point the line goes through.

In this case, m = 1/2 is the slope. The given point on the line is (x1,y1) = (5,6) meaning it breaks down into x1 = 5 and y1 = 6.

Plugging all that in has us go from this

`y - y_1 = m(x - x_1)`

to this

`y - 6 = (1)/(2)(x-5)`

Answer 2

y = 1/2 * (x - 5) + 6