write the equation of a line parallel to the line with an equation y=8x+6 and passes through the point (3,9)

y = 8x - 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 8x + 6 ← is in slope- intercept form

with slope m = 8

Parallel lines have equal slopes, thus

y = 8x + c ← is the partial equation

To find c substitute (3, 9) into the partial equation

9 = 24 + c ⇒ c = 9 - 24 = - 15

y = 8x - 15 ← equation of parallel line

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.