Answer:
y = - 3x + 5
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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, - 4) and (x₂, y₂ ) = (1, 2)
m = 
= 
= - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 2), then
2 = - 3 + c ⇒ c = 2 + 3 = 5
y = - 3x + 5 ← equation of line
Answer:
x = -24
Step-by-step explanation:
y = 1/4x+12 (Substitute 6 for y)
6 = 1/4x+12 (Subtract 12 from both sides)
6-12= -6 so its now -6 = 1/4x and since its a fraction you want to multiply both sides by the reciprocal
4*-6 = 1/4x*4 (1/4*4=1 which is 1x or x)
-24 = x
Answer:{(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}
Step-by-step explanation:
I would easily recommend to convert these to decimals. If you don't know how you should search it up or ask a teacher/friend. Convert 2 3/4 to .75, and then 2 1/2 is 2.50. Add 2.75 twice because he is making 2 dozen each (and a half) equals 11. Then multiply the 2.75 by .50 (6 muffins). That is 1.375. Add 11 and 1.375 equals 12.375. I'm not 100 percent sure this is correct but I hope it helps. :)
Answer:
circle centered at (0,-1) and radius 4.
Step-by-step explanation:
The equation of a circle of radius r, with center is (a,b) is
(x-a)^2+(y-b)^2=r^2.
x^2+(y+1)^2=4^2=(x-0)^2+(y-(-1))^2=4^2 so that a=0, b--1 and r=4.
