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IRINA_888 [86]
4 years ago
7

ANSWER ASAP

Mathematics
1 answer:
cestrela7 [59]4 years ago
5 0

Answer:

Slope is -0.6

y-intercept is -0.2

Step-by-step explanation:

We can find the slope of our line by dividing the change in y with the change in x between the 2 values.

We have 2 points: (-2, 1) and (3, -2)

Thus, we have the y-values of 1 and -2. (second number)

The change is thus:

1 - (-2) = 3

Meanwhile, we have the x-values of -2 and 3. (first number)

The change is thus:

-2 - 3 = -5

Dividing 3 by -5 we get:

\frac{3}{-5} =-\frac{3}{5} =-0.6

The slope of our line is thus, -0.6

The y-intercept is the y-value at which the line meets the y-axis. In other words, when x = 0.

We know that our y-value changes by -0.6 for each x (our slope).

Since y = 1 at x = -2 (our first point), if we add 2 x, our y-value should change by -1.2:

2 * -0.6 = -1.2

If y was 1, and we change it by -1.2, we get:

1 - 1.2 = -0.2

Thus, the y-intercept is -0.2, as that is our y-value when x = 0.

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Hoochie [10]
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7 0
3 years ago
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The family of this graph?
muminat

Answer:

Step-by-step explanation:

The shape of this graph is that of a parabola.  In this case the parabola opens down.  The general form of the equation of such a parabola is

y = a(x - h)^2 + k, where (h, k) is the vertex and a is a coefficient to be determined.

In this particular case we can obtain the coordinates of the vertex (h, k) from the graph.  They are (3, 4).  Thus, h = 3 and k = 4.  The graph goes through (1.5, 0).  Use this information to determine the value of the coefficient a:

Then the equation of this parabola must be y = a(x - 3)^2 + 4.

0 = a(1.5 - 3)^2 + 4

Then:

0 = a(-1.5)^2 + 4, or

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Thus, the final result:  The equation of this parabola is

y = (16/9)(x - 3)^2 + 4

whose graph is a parabola that opens down and has vertex (3, 4).            

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3 years ago
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lawyer [7]

\text{Hey there!}

\bf{(-243) \times \dfrac{1}{5}}

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\bf{Your\ answer: \boxed{\bf{\dfrac{-243}{5} or \ as\ a\ decimal\ its: -48.6}}}\checkmark

\text{Good luck on  your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

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