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3 years ago

What is the slope of the line represented by the table of values?

Mathematics

2 answers:

ser-zykov [4K]3 years ago

8 0

Answer:2

Step-by-step explanation:

yKpoI14uk [10]3 years ago

5 0

The slope is 1.5x

Per x value increase, the y value increases by 1.5.

This mean that if x is 2, the y value will be 3 higher than the y-intercept.

We can use the slope formula to verify this.

$\frac{y.2 - y.1}{x.2 - x.1} = m$

6 - 4.5 / 0 + 1

1.5/1 = 1.5

This line in slope-intercept form would look like this:

y = 1.5x + 6

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yawa3891 [41]

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Step-by-step explanation:

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2 years ago

3. A line goes through the points (3,4) and (-3,6).

Galina-37 [17]

Answer:

Part a) The slope is $m=-\frac{1}{3}$

Part b) The equation in point slope form is $y-4=-\frac{1}{3}(x-3)$

Part c) The equation in slope-intercept form is $y=-\frac{1}{3}x+5$

Step-by-step explanation:

we have the points (3,4) and (-3,6)

Part a) What is the slope of the line?

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given points

$m=\frac{6-4}{-3-3}$

$m=\frac{2}{-6}$

$m=-\frac{1}{3}$

Part b) Write the equation of the line in point-slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$point\ (3,4)$

substitute

$y-4=-\frac{1}{3}(x-3)$ ---> equation in point slope form

Part c) Write the equation of the line in slope-intercept form

$y=mx+b$

we have

$y-4=-\frac{1}{3}(x-3)$

Isolate the variable y

distribute right side

$y-4=-\frac{1}{3}x+1$

Adds 4 both sides

$y=-\frac{1}{3}x+1+4$

$y=-\frac{1}{3}x+5$ ---> equation in slope intercept form

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2 years ago

A rectangle has an area of 48

nika2105 [10]

Answer: i didnt understand the answer choice but the correct answer is 48/12=width. width=4

Step-by-step explanation:
as we know the area of a rectangle is area=length X width
so we plug in 48 as area and 12 as length

48=12 x width
48/12=width(divide both sides by 12)

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