What is the y=mx+b given this condition: parallel to y=-1/2x+3, through (4,-1)?

Question

show work please

Answer 1

m = - 1/2

y + 1 = (-1/2) (x - 4)

y = (-1/2) x + 1

Answer 2

Because it's parallel, the slope stays the same. We're looking for the y-intercept.

y=-1/2x+b

Substitute.

-1=-2+b

Isolate the variable.

1=b

The new equation is y=-1/2x+1

Answer 3

If it's parallel, the slopes are the same, so

m = -0.5

If it passes though y=-1, x=4, then write:

y=mx+b

b=y-mx

b=-1-(-0.5)(4)=-1+2=+1

check:

(-0.5)(4)+1=-1

Answer 4

y=mx+b means m=-1/2

we have: y=-1/2x+b

we know that it pass through (4,-1)

so we can find the value of "b" by: -1=-1/2*4+b

b=1

the equation is y=-1/2+1

Answer 5

y = mx+b

y = -1      x= 4           m = -a/b  =  -1/2/-1 =1/2

-1= 1/2 * 4 +3