Answer: y=1/4x + 4
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