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nlexa [21]
3 years ago
14

Please help me y=-2x+2 y=2x+2 y= -1/2x+2 y= 1/2x+2

Mathematics
2 answers:
grin007 [14]3 years ago
4 0
Okay well, just by looking at the graph. It’s a negative slope and the only answer, that has a negative is the 3 one.
KiRa [710]3 years ago
3 0

y = mx + b

"m" is the slope, "b" is the y-intercept [the y value when x = 0, so (0,#)]

You can find the slope by using the slope formula and plugging in 2 points:

m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}


Or you can use this:

slope=\frac{rise}{run}

Rise is the number of units you go up(+) or down(-)

Run is the number of units you go to the right.


If you look at the graph, from each point you go down 2 units, and to the right 1 unit, So you slope is -2/1 or -2. When x = 0, the y value is 2, so your y-intercept is 2.


y = -2x + 2   The first choice is your answer

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HURRYYYYYYYYY!! What is the equation of the quadratic function with a vertex at (2, 25) and an x-intercept at (7,0)?
tangare [24]

Answer:

y=-(x-7)(x+3)

which is none of the choices provided.

Are you sure the question is right or even the choices?

You can even write it as:

y=-(x+3)(x-7) but this is still not a choice.

Step-by-step explanation:

The vertex form of a quadratic is y=a(x-h)^2+k.

This is called vertex form because it gives you the vertex is (h,k).

We are given that (h,k)=(2,25) which makes our equation:

y=a(x-2)^2+25.

We can find the value of a by plugging in the x-intercept (7,0) for (x,y) into:

y=a(x-2)^2+25

0=a(7-2)^2+25

0=a(5)^2+25

Subtract 25 on both sides:

-25=a(5)^2

-25=a(25)

Divide both sides by 25:

\frac{-25}{25}=a

-1=a.

So the equation for the quadratic is:

y=-1(x-2)^2+25

Let's put this into factored form since all the choices are in factored form.

This will require us to multiply the (x-2)(x-2) out:

y=-1(x-2)(x-2)+25

y=-1(x^2-2x-2x+4)+25

y=-1(x^2-4x+4)+25

y=-x^2+4x-4+25

y=-x^2+4x+21

Factor out -1:

y=-(x^2-4x-21)

WE need to find two numbers that multiply to be -21 and add to be -4:

y=-(x-7)(x+3)

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