Answer:
y =
x +
or 12y = 9x -32 or y - 1/3 =3/4(x-4)
Step-by-step explanation:
The equation of a line in the slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
The other form is the point-slope form where the point (x₁, y₁) and a slope m are given, and you have to plug it into formula:
y – y₁ = m(x – x₁)
Here:
y - 1/3 =3/4(x-4)multiply both sides by 12 to loose fraction
12y -4 = 9(x-4) distribute
12y -4 = 9x -36 add 4 on both sides
12y = 9x -32 divide by 12
y =
x +
simplify factions
y =
x + 
Answer:
233.37
Step-by-step explanation:
so between each gondola is 20.95 so you will multiply it by 35 not 36 (because between the first you go round and come back to the same first you started so no space between first and last) then get circumference as 733.25 using

you get diameter
The story problem of shawn's poster length and width is the correct one
There is a given point (10,3) this shows that when the width (X) is 10, the height (Y) is 3.
On the left side of the graph, they show an equation for the height Hw as being the constant over w ( width).
Using the given point solve for the constant.
Replace Hw with 3 and w with 10:
3 = Constant/10
Solve for the constant by multiplying both sides by 10:
Constant = 3 x 10
Constant = 30
The answer is B.
9514 1404 393
Answer:
see below
Step-by-step explanation:
It is easiest to compare the equations when they are written in the same form.
The first set can be written in slope-intercept form.
y = 2x +7
y = 2x +7 . . . . add 2x
These equations are <em>identical</em>, so have infinitely many solutions.
__
The second set can be written in standard form.
y +4x = -5
y +4x = -10
These equations <em>differ only in their constant</em>, so have no solutions.
__
The third set is already written in slope-intercept form. The equations have <em>different slopes</em>, so have exactly one solution.