Answer:
m=7/2
Step-by-step explanation:
7x-2y=14
2y=7x-14
y=7/2x-14/2
y=7/2x-7
y=mx+b where m=slope and b=y-intercept,
the slope is 7/2
It's not the slope-intercept form of the line.
It's the slope-intercept form of the line's equation.
<em> Y = mX + B</em>
'X' is the slope of the line
'B' is the y-intercept of the line
Answer:
The addition property of equality
Step-by-step explanation:
According to the addition property of equality, if we add the same number to each side of an equation, the equality is still true.
We are given the equation
x – 3 = 7, and we must solve for x.
We want to get x by itself, so we <em>add 3 to each side</em>.
x – 3 + 3 = 7 + 3
x = 10
We have just used the addition property of equality.
Answer:
12
Step-by-step explanation:
0 + 12 = 12
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
