To find the ordered pair solution, you need to find the zero(s) (which are the x-values for which y is equal to zero). This is called the Zero Product Property. Here's the math:
-2x-y=4 convert the equation into slope form
-y=2x+4 multiply both sides by -1
y=-2x-4 convert into factored form
y=-2(x+2) now, we need to find what x equals that makes y equal zero
0=-2(x+2) replace y with zero
0/-2=x+2 divide both sides by -2
-2=x x=-2 when y=0
Therefore, the zero of the equation (aka the solution) is the ordered pair (-2,0).
Answer: (-2,0)
If you have access to a graphing calculator, you can just convert the equation to y=mx+b form and enter it as a function. The solution is wherever the graph intercepts the x-axis. Hope this helps!
The answer is 3.075.
If you divide 12.30 4 you'll get 3.075.
Answer/Step-by-step explanation:
Given:
Line equation => 
Required:
x-intercept and y-intercept of the line.
SOLUTION:
The x-intercept is the point where the line intercepts the x-axis. To find the x-intercept of the line for which the equation is given above, set y = 0 and solve for x.
(approximated)
The y-intercept is the point where the line intercepts the y-axis. At this point, x = 0. Set x = 0 and solve for y to find the y intercept.
(approximated)
1. Slope intercept form is y=mx+b, where m is slope and b is y-intercept.
It gave you point (8,12) and slope of -2.
So you already know the value of m, so so far it's y = -2x + b.
Plug the coordinates as x and y: 8 for x and 12 for y.
12 = -2(8) + b
12 = -16 + b
28 = b
Adding b in, you get y = -2x + 28
2. Find the slope, then use point-slope form.
Slope is change in y over change in x, or (y2-y1)/(x2-x1).
m = (9-1)/(2-3) = 8/(-1) = -8
Point slope form: y - y1 = m(x - x1)
y - y1 = -8(x - x1)
Now plug in either of the coordinates as x1 and y1, let's do (3,1).
y - 1 = -8(x - 3)
y - 1 = -8x + 24
y = -8x + 25
3. Do it the same way as number 2. Choose two points, for example (1,1) and (2,-2). You find m = -3 and get final answer as y=-3x + 4.
4. B = 150 + 80d
B is account balance, d is number of monthly deposits.
If you rearrange the terms: B = 80d + 150, you see that that is in slope-intercept form y = mx+b, and if you remember from #1 m is the slope. In this case, the variables are changed, so d is the slope here. And the question told you that d, the slope, is the number of monthly deposits. Its coefficient is 80, so Bianca deposits $80/month.
<span>5. </span>
14a + 16b = 560
16b = 560 - 14a
b = (560 - 14a)/16
b = 560/16 - 14a/16
b = 35 - (7/8)a
<span>b = -(7/8)a + 35</span>
Answer:d
Step-by-step explanation:
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