Write the equation of the line parallel to y=1/4 x+6 that passes through the point (-4, 3) in slope-intercept form.

y=1/4x + 4  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6  and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.

(-4,3)  the x coordinate is -4 and the y coordinate is 3

3 = 1/4(-4) + b  

3 = -1 + b

+1   +1

b= 4  

The y intercept is 4 so the equation will be y=1/4x + 4

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step-by-step explanation:

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