Someone me leran this meth problem what is the slope-intercept form of the function that contains the point (8, 12) and has a slope of −2? y = x + i added 10 bonus points, so provide an explanation with you answer

Step-by-step explanation:

y = -2x + 28

Step-by-step explanation:

We are given the slope and a point on the line so first we use the point-slope form :-

y - y1 = m(x - x1)

Substituting the given values:-

y - 12 = -2(x - 8)

Now convert to the slope-intercept form (which is y = mx + c):-

y = -2x + 16 + 12

y = -2x + 28   (answer)

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.

b

step-by-step explanation: