How do you write an equation of the line containing the point (4, 6) and the parallel to the line #y= 1/4x + 4#?

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Answer 1 · 2018-04-23T15:59:18

#y=1/4x+5#

The formula for finding the equation of a line:

#y- (y_1 \ "from the coordinate") = "gradient"(x-(x_1 \ "from the coordinate"))#

So applying that formula

#y-6=1/4(x-4)#

#y-6=1/4x-1#

#y=1/4x+5#

The gradient is #1/4# because parallel lines have the same gradient.