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2 years ago

Use the given information to write the equation of the line in slope-intercept form: y = mx + b

Mathematics

1 answer:

worty [1.4K]2 years ago

7 0

Answer:

$y =2x + 3$

Step-by-step explanation:

Given

(-2,-1) and (3,9).

Required

Determine the line equation

First, we calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (-2,-1)$

$(x_2,y_2) = (3,9)$

So, we have:

$m = \frac{9 - (-1)}{3- (-2)}$

$m = \frac{9+1}{3+2}$

$m = \frac{10}{5}$

$m = 2$

The equation is then calculated using:

$y - y_1 = m(x - x_1)$

$y - (-1) =2(x - (-2))$

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

$y +1 =2(x +2)$

Open bracket

$y +1 =2x + 4$

Subtract 1 from both sides

$y +1-1 =2x + 4-1$

$y =2x + 3$

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HELP PLS Match each graph with the logarithmic function it represents

SIZIF [17.4K]

Each graph has been matched with the logarithmic function it represents as follows:

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In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:

f(x) = 3 - 4In (x-2) = graph 3.

f(x) = 3 - Inx = graph 1.

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Read more on logarithm function here: brainly.com/question/13473114

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3 0

1 year ago

HELP ASAP!!!!

solong [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

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2 years ago

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lys-0071 [83]

25/4 that is the answer

3 0

3 years ago

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nordsb [41]

Answer:

Its True

Step-by-step explanation:

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2 years ago

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