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3 years ago

Find the equation of the linear function represented by the table below in slope-intercept form.

Mathematics

1 answer:

Degger [83]3 years ago

4 0

Answer:

$y=10x-6$

Step-by-step explanation:

step 1

Find the slope

we have

(0,-6) and (1,4)

The slope is equal to

$m=(4+6)/(1-0)=10$

step 2

Find the equation of the line in slope intercept form

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=10$

$b=-6$ -----> y-intercept (given value in the table)

substitute

$y=10x-6$

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A dust particle weighs 7.42 × 10-10 kilograms. What is the weight of 5 × 106 dust particles represented in scientific notation?

vova2212 [387]

5 x 106 = 530 particles

530 x 7.42x10^-10 = 3.93x10^-7

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3 years ago

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What is the equation of the line described below written in slope-intercept form the line passing through the point (-1,5) and p

gregori [183]

The correct answer is y=-x+4

Further explanation:

Given equation of line is:

$x+y = 10$

Comparing it with the standard point-slope form

$y = mx+b$

We get

y = -x+10

m = -1

As the new line is parallel to given line it will also have m=-1 as slope of two parallel lines is equal

For finding b, we will put the point and value of m in standard form

$y = mx+b\\5 = (-1)(-1) + b\\5 = 1+b\\5-1 = b\\b=4$

Hence the equation will be:

$y = (-1)x+4\\y = -x+4$

The correct answer is y=-x+4

Keywords: Slope, Equation of line, Point-slope form

Learn more about Point-slope form of equation of line at:

#LearnwithBrainly

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3 years ago

Evaluate x y when x = 4/5 and y = 1/3. what would the fraction or mixed number be?

Alex777 [14]

X = 4/5
y = 1/3
x+y = 4/5 + 1/3
x+y = 12/15 + 5/15
x+y = 17/15

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4 years ago

How many solutions does this system of equations have?

victus00 [196]

Infinitely many because if you take the top equation and multiply it by 2 you get the same equation. That means that any number you plug in for x is a solution

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1 year ago

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Solve the inequality | x + 5/3 | -3 > 6

horrorfan [7]

Answer

The solution to the inequality is x > 22/3 or x < -32/3

Explanation

The given inequality is:

$|x+\frac{5}{3}|-3>6$

The inequality can be solved as follows:

$\begin{gathered} |x+\frac{5}{3}|-3>6 \\ \\ Take-3\text{ }to\text{ }the\text{ }other\text{ }side\text{ }of\text{ }the\text{ }inequality\text{ }sign \\ \\ |x+\frac{5}{3}|>6+3 \\ \\ |x+\frac{5}{3}|>9 \end{gathered}$

Now, split the absolute value into two inequalities, for case > 9 or < -9

$\begin{gathered} x+\frac{5}{3}>9\text{ }or\text{ }x+\frac{5}{3}9-\frac{5}{3}\text{ }or\text{ }x\frac{22}{3}\text{ }or\text{ }x$

Hence the solution to the inequality | x + 5/3 | -3 > 6 is x > 22/3 or x < -32/3

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1 year ago