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2 years ago

What is the y-intercept?

Mathematics

1 answer:

Helga [31]2 years ago

3 0

Answer:

y = 2x - 3

Step-by-step explanation:

To solve for y, use the point slope formula: y2 - y1 / x2 - x1

Given the points (3, 3) and (4, 5) 5 - 3/4 - 3

2/1

m = 2

Use the slope m = 2 and one of the given points such as

(3,3) to substitute for x1 and y1 in the point-slope form

So, y - y1 = m x (x - x1)

y - (3) = 2 x (x-3)

Solve for to get the equation. y = 2x - 3

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TiliK225 [7]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

What is the slope of the line shown in the graph? A) -1 B) -2 C) - 1/2 D) 2

oee [108]

Answer:

-2

Step-by-step explanation:

to find the slope from to points you can follow this equation

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2 years ago

According to industry sources, online banking is expected to take off in the near future. The projected number of households (in

Airida [17]

Answer:

(a) The least-square regression line is: $y=4.662+2.709x$ .

(b) The number of households using online banking at the beginning of 2007 is 31.8.

Step-by-step explanation:

The general form of a least square regression line is:

$y=\alpha +\beta x$

Here,

y = dependent variable

x = independent variable

α = intercept

β = slope

(a)

The formula to compute intercept and slope is:

$\begin{aligned} \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \end{aligned}$

The values of ∑X, ∑Y, ∑XY and ∑X² are computed in the table below.

Compute the value of intercept and slope as follows:

$\begin{aligned} \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 68.6 \cdot 55 - 15 \cdot 218.9}{ 6 \cdot 55 - 15^2} \approx 4.662 \\ \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 6 \cdot 218.9 - 15 \cdot 68.6 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 2.709\end{aligned}$