Answer:
1.) Y = 5/3 X + 4
2.) Y = 9/4 X - 27/4
Step-by-step explanation:
Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is
Y = MX + C
Where the
Slope M = 5/3
Coordinate = (-3,-1) in which
X = -3, Y = -1
Substitute X, Y and M into the general linear equation to achieve C
-1 = 5/3(-3) + C
-1 = - 5 + C
C = 5 - 1
C = 4
Substitute C and M back into the general linear equation.
Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be
Y = 5/3 X + 4
2.) Also,
Slope M = 9/4
Coordinate = (3,0) where X = 3, Y = 0
Substitute X, Y and M into the general linear equation to obtain C
0 = 9/4 (3) + C
C = - 27/4
Substitutes C and M back into the general linear equation
Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)
Y = 9/4 X - 27/4
Answer:
1) one
2) zero
Step-by-step explanation:
e/sinE = g/sinG
10/sin64 = 9/sinG
sinG = 0.8089146417
G = 53.99
j/sinJ = k/sinK
3/sin129 = 8/sinK
sinK = 2.072389241
Answer:
y = -3/2 x + 4
Step-by-step explanation:
y-4 = -3/2 ( x-0)
y = -3/2 x + 4
Positive! I hope this helps!
9514 1404 393
Answer:
- 14/9
- -3.6
- 5/4
- 11/2, 7/8, 5/18
Step-by-step explanation:
1. n = (11/6 -2/3)(4/3) = (7/6)(4/3) = 14/9
__
2. x = (9.82 -28.18)/5.1 = -3.6
__
3. y = 3/2 -1/4 = 5/4
__
4a. t = 2(3 -1/4) = 11/2
4b. y = (1/5 +1/2)(5/4) = ((2+5)/10)(5/4) = 7/8
4c. x = (11/3 -2)/6 = (5/3)(1/6) = 5/18
