Look at the graph shown below: A coordinate plane is shown. A line passes through the point −4 comma 1 and through the y-axis at 4.

Which equation best represents the line?

y = 3 over 4.x + 4
y = 4 over 3.x + 4
y = 4x + 3 over 4.
y = 4x + 4 over 3.

Well in order to find the equation you are looking for you first must find the slope of the line.  Since it gives you two points at (-4, 1) and at (0, 4), use these points to find the slope.  

y = (3/4)x + 4 is the answer

Step-by-step explanation:

Tell me if it is wrong

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Have a great day! :3

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)