Question

Write the slope intercept form of the equation of the line to through the given point with the given slope

Answer 1

The answer is: y = -2/5x + 3

Explanation:

Given point: (5, 1)

Given slope: m = -2/5

Start with the point slope form and solve for y:

y - y1 = m(x - x1)

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

y - 1 = -2/5x + 10/5

y - 1 = -2/5x + 2

y = -2/5x + 3

Proof:

f(x) = -2/5x + 3

f(5) = -2/5(5) + 3

= -10/5 + 3 = -2 + 3 = 1, giving (5, 1)

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