We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)
Let's verify it's a line by calculating the slopes between successive points.
Slope is change in y over change in x.
(2 - 4)/(-1 - -3) = -2/2 = -1
(-3 - 2)/(4 - -1) = -5/5 = -1
(-5 - -3)/(6 - 4) = -2/2 =-1
Yup. We have a line of slope -1 through point (-1, 2)
y - 2 = -1(x - -1)
y = -x - 1 + 2
y = -x + 1
That's the linear equation for the table.
Answer: Linear equation: y = -x + 1 slope = -1
Answer:
1) m = h - w/8
Subtract h from both sides.
m - h = -w/8
Subtract m from both sides.
-h = -m - w/8
Divide all terms by -1.
h = m + w/8.
2) m = h - w/8
Get rid of the denominator 8 by multiplying 8/1 to all terms.
8m = 8h - w
Add w on both sides and subtract 8m from both sides.
w = 8h - 8m
3) w = x + y/z
Get rid of the denominator z by multiplying it to all terms.
wz = xz + y
Subtract xz from both sides of the equation.
wz - xz = y OR y = wz - xz
4) w = x + y/z
Subtract x from both sides.
w - x = y/z
Get rid of the denominator by multiplying it to all terms.
wz - xz = y
Now factor the expression wz - xz.
z(w - x) = y
Divide both sides by w - x.
z = y / w - x
This is read as z equals to y divided by w minus x.
5) The area of a triangle is A = 1/2bh
First, get rid of the denominator by multiplying both sides by 2.
2A = bh
To find b, divide both sides by h.
2A/h = b
6) P = kt/v
Multiply both sides by v.
Pv = kt
Divide both sides by t.
Pv/t = k OR k = Pv/t.
Step-by-step explanation:
Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21 it’s -1
Answer:
x = 4
Step-by-step explanation:
3 x ( 4x -7 ) = 27
3 x 4x = 12x
3 x -7 = -21
12x -21 = 27
12x -21 + 21 = 27 + 21
12x = 48
12x/12 = 48/12
x = 4
