How do you write the equation of a line passing through (-5, 2) and parallel to the line whose equation is y=-4x +3?

1 Answer
Apr 25, 2018

Answer:

#y = -4x + 10#

Explanation:

We know that the slope of the line is 4 units down for every 1 unit to the right, and that the line intercepts the y axis at 3. A parallel line will have a different y intercept but the same slope, so we already know that the equation must be #y = -4x + b #, with b as the y intercept.

We also know that the line passes through point (-5,2). We can thus substitute x and y for -5 and 2 respectively, to find b.

#2 = (-4 * 2) + b#

Simplify the equation
#2 = -8 + b#

Add 8 to both sides
#10 = b#
#b = 10#

#y = -4x + 10#