Answer:
Step-by-step explanation:
Slope of a line passes through (a,b) and (c,d) =
In graph(below) given line is passing through (-2,-4) and (2,2) .
Slope of the given line passing through (-2,-4) and (2,2) =
Since parallel lines have equal slope . That means slope of the required line would be .
Equation of a line passing through (a,b) and has slope m is given by :_
(y-b)=m(x-a)
Then, Equation of a line passing through(-3, 1) and has slope = is given by
Required equation:
Answer:
x=1
Step-by-step explanation:
5x + 2 = 3x + 4(2x - 1)
Distribute the 4
5x + 2 = 3x + 8x - 4
Combine like terms
5x + 2 = 11x - 4
Subtract 5x from each side
5x -5x + 2 = 11x - 5x - 4
2 = 6x-4
Add 4 to each side
2+4 = 6x-4+4
6 = 6x
Divide each side by 6
6/6 =6x/6
1= x
Answer:
y = 12x-3
Step-by-step explanation:
X = (y + 3) / 12
Multiply each side by 12 to clear the fraction
12 x = (y+3)/12 *12
12x = y+3
Subtract 3 from each side
12x -3 = y+3-3
12x-3 =y
Answer:
P(black) = 2/3
Step-by-step explanation:
We need to find the total number of marbles
2 red marbles+ 3 white marbles+ 10 black marbles = 15 marbles
To find the probability that Sam chose a black marble, we take the number of black marbles and divide by the total number of marbles
P(black) = black marbles/total marbles
= 10/15
Divide the top and bottom by 5
= 2/3