Find the equation of the linear function represented by the table below in slope intercept form.

Step-by-step explanation:

let equation be y = mx + b.

m = (9-5)/(3-1) = 2

sub (1, 5):

5 = 2(1) + b

b = 3

therefore the equation: y = 2x + 3

Topic: coordinate geometry

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c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

2/3

step-by-step explanation: