Aline passes through (5, -2) with a slope of ¼. write the equation in slope-intercept form.

The Answer is: y = 1/4x - 3 1/4

Step-by-step explanation:

Given point: (5, -2)

Given slope: m = 1/4

Start with the point slope form and then solve for y:

y - y1 = m(x - x1)

y - (-2) = 1/4(x - 5)

y + 2 = 1/4x - 5/4

y = 1/4x - 5/4 - 2

y = 1/4x - 5/4 - 8/4

y = 1/4x - 13/4

y = 1/4x - 3 1/4

Proof:

f(x) = 1/4x - 3 1/4

f(5) = 1/4(5) - 13/4

= 5/4 - 13/4 = -8/4 = -2, giving (5, -2)

Hope this helps :-)

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.

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