What is the equation, in slope-intercept form, of the line that passes through (0, 6) and has a slope of 4? ?

Here, x1 = 0, y1 = 6, m=4

slope-intercept form, y-y1 = m(x-x1)

y-6 = 4(x-0)

y = 4x+6

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)

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step-by-step explanation: