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4 years ago

Write an equation for each line that contains the given pair of points. (-6,1) (2,3)

Mathematics

1 answer:

Travka [436]4 years ago

4 0

Answer:

y = .25x + 2.5

Step-by-step explanation:

First find the slope which is m in y = mx + b. y = mx + b is the standard form for a line.

m = (y₂-y₁)/(x₂-x₁)

m = (3-1)/(2+6)

m = 2/8

m = 1/4

Plug that in.

y = 1/4x + b

To find b plug in one of the two points and solve.

3 = 1/4(2) + b

3 = 1/2 + b

3 - 1/2 = 1/2 - 1/2 + b

2.5 = b

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4 years ago

An exponential function f(x)

natka813 [3]

Given:

An exponential function $f(x)=ab^x$ passes through the points (0, 12000) and (2, 3000).

To find:

The values of a and b.

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3 years ago

What is the slope of the line that passes through the points (-2, -3) and (5,4) ? -3 3 -1 1

Andrews [41]

Answer:

$\boxed{\textsf{ The slope of the line is \textbf{1}.}}$

Step-by-step explanation:

Two points are given to us and we need to find the slope of the line that passes through these two points . The two points are (-2,-3) and (5,4) .As we know that the slope of the line is given by $\tan\theta$

Slope of a line is :-

$\boxed{\boxed{ \sf Slope =\dfrac{ y_2-y_1}{x_2-x_1}=\tan\theta }}$

On using this formula we can find the slope of the line .

Putting the respective values :-

$\sf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\sf\implies Slope = \dfrac{ -3-4}{-2-5} \\\\\sf\implies Slope =\dfrac{-7}{-7}\\\\\sf\implies\boxed{\pink{\sf Slope = 1 }}$

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3 years ago

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galben [10]

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