Question

Find the equation of the line that is parallel to the line y = -2x +3 and passes through the point (5,4).y = − 1/2x + 6.5y = 2x - 14y = -2x + 14y = 1/2x + 1.5

Answer 1

lets remember how to find the equation of a parallel line

two lines are parallel if they don"t intersect, that means they slopes are the same

y=-2x+3

slope as we see is m=-2

the other line has to pass through point (5,4)

y-y1=m(x-x1)

y-4=-2(x-5)

we solve the equation

y= 4-2x+10

y= -2x+14

i will send you a picture

green line is y=-2x+14