What is the equation of a line passing through (-6,5) and having a slope of 1/3

y = + 7

Step-by-step explanation:

The line passes through (-6,5)

It has a slope of

Taking another point (x,y) on the line;

Slope of a line = change in y ÷ change in x

=

y - 5 = + 2

y = + 7

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.