Question

Which system of equations is represented by the graph?

Answer 1

I can't find out how to do this in the lesson

Answer 2

what do you think is the answer ?

Answer 3

i don't know how to do this, the teacher was no help and neither was the lesson

Answer 4

okay i will help you XD

Answer 5

thank you

Answer 6

your welcoem do yuo have a answers choices?

Answer 7

A line that passes through (-6, 9) and (-5, 3). I will assign these points to the following variables:
(-6, 9) = (x1, y1)
(-5, 3) = (x2, y2)

The slope (m) equation for this line is
m = (y2 - y1) / (x2 - x1)
m = (3 - 9) / (-5 - (-6))
m = (-6) / (-5 + 6)
m = (-6) / (+1)
m = -6 = the slope of this equation

Using the slope intercept equation and one of the given points, we can solve for the y intercept (b)
Although we could use either point, I choose to use (-5, 3).
y = mx + b
3 = (-6)(-5) + b
3 = 30 + b
b = 3 - 30
b = -27

Now that we know the slope (m) and y intercept (b), the equation for the line that passes through points (-6, 9) and (-5, 3) is
y = mx + b
y = (-6)x - 27
And in standard form, this equation becomes 6x + y = -27 - - - > IMPORTANT FACT #1

The equation for a parabola that open upward has a positive coefficient for the second degree term. - - > IMPORTANT FACT #2

Look over all four answers and see which one matches IMPORTANT FACT #1 and IMPORTANT FACT #2. That will be your answer.

HINT: For each group of answers above, the top equation is the equation for the parabola and the bottom equation is the equation for the line passing through the two given points.
You should be able to figure out the answer now.

Answer 8

Do yuo get it ?

Answer 9

umm why did you multiply -6 and -5?

Answer 10

hold on

Answer 11

its part of the oration

Answer 12

???

Answer 13

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