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3 years ago

Which equation best represents the line? (10 Points)

Mathematics

1 answer:

son4ous [18]3 years ago

7 0

Answer: D. y = 3x − 1

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 2

y1 = - 1

x2 = 1

x1 = 0

Slope,m = (2 - - 1)/(1 - 0) = 3/1 = 3

To determine the intercept, we would substitute x = 1, y = 2 and m= 3 into y = mx + c

y = mx + c. It becomes

2 = 3 × 1 + c = 3 + c

c = 2 - 3 = - 1

The equation becomes

y = 3x - 1

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If 3(x-3)=24, then x=?

Alexeev081 [22]

Answer: x=11

Step-by-step explanation:

First distribute 3 to both x and -3.

3x-9=24

Then add 9 to both sides to leave the x on its own.

3x=33

Divide by 3 on both sides.

X=11

4 0

4 years ago

Read 2 more answers

the product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can

alexandr1967 [171]

Required equation to determine two consecutive even number is $x^{2}-16=0$ and required numbers are 4 and 6.

<u>Solution:</u>

Given that product of two consecutive positive integer is 14 more that their sum. Need to create the equation and solve it to get two numbers.

Let’s assume first even number be represented by x.

So second consecutive even number will be $x + 2$

Sum of two consecutive number = $(x) + (x + 2)$

$\Rightarrow$ Sum of two consecutive number = $2x + 2$

Product of two consecutive number = $(x) \times(x+2)=x^{2}+2 x$

Product of two consecutive number is 14 more that sum of two consecutive numbers, so if we subtract 14 from product, we will get sum.

$\begin{array}{l}{\Rightarrow\left(x^{2}+2 x\right)-14=2 x+2} \\\\ {=>x^{2}+2 x-2 x-14-2=0} \\\\ {\Rightarrow x^{2}-16=0} \\\\ {\Rightarrow x^{2}-4^{2}=0} \\\\ {\Rightarrow x^{2}=4^{2}} \\\\ {\Rightarrow x=4}\end{array}$

One even number = $x=4$

Other even number = $x + 2 = 4 + 2 = 6$

Hence required equation to determine two consecutive even number is $x^2 -16 = 0$ and required numbers are 4 and 6.

8 0

4 years ago

Write an equation in standard form of the line that passes through (1, 3) and has a slope of –4.

Masteriza [31]

Answer:

work is shown and pictured

3 0

4 years ago

HELPPPP ME NOWWWW PLEASEE

sergiy2304 [10]

X = 101
Z = 30
Explanation:
A straight line is equal to 180 degrees. You see the angle equal to 79 is the opposite angle of x. 180 - 79 = 101.

You see that (3z - 11) is the same angle as the one equal to 79. So (3z - 11) = 79. So you think what minus 11 equals 79? 79 + 11 = 90. Now what times 3 equals 90? 90 divided by 3 = 30.

I know this explanation is probably confusing so let me know if I need to explain my explanation lol

7 0

1 year ago

The dance team spent $425 buying pizzas for their fundraiser and sold them for $7.25 each. If the team made a profit of $176.75,

Igoryamba

Im pretty sure is b) 83 pizzas because 83 times 7.25 is equal to 601.75 and then if you subtract that by 425 you get 176.75

4 0

3 years ago

Read 2 more answers