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1 year ago

Find the equation of this line

Mathematics

2 answers:

maksim [4K]1 year ago

3 0

Y=1/3x + 2 as the y intercept is 2 and slope is 1/3

frutty [35]1 year ago

3 0

Answer:

y = ⅓ x + 2

Step-by-step explanation:

y = mx + b is the slope-intercept form, where m is the slope of the line and b is the y-intercept (where the line crosses at the y-axis).

The slope is shown as the "movement along the y-axis/movement along the x-axis"

In this graph, the slope is moving up 1 unit (y-axis) and moving right 3 units (x-axis). So we will replace "m" with the slope "⅓".

y = ⅓x + b

Since the line crosses the y-axis at (0, 2), we will replace "b" with the y-intercept "2".

y = ⅓ x + 2

Therefore the graph's equation is y = ⅓ x + 2.

Hope it helps! :D

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2 years ago

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2 years ago

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Help pls what's the common difference

horsena [70]

Answer:

#9: 5

#10: -2

#11: -1.5

Step-by-step explanation:

#9: 3,8,13,18,23,(28),(33),(38),.. Go up by 5 each time, so the common difference is 5.

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3 years ago

-4x + 7 = 2y - 3 y-intercept: x intercept:

pantera1 [17]

Answer:

x-intercept: $\bigg(\frac{5}{2}, \:0\bigg)$

y-intercept: $(0,\:5)$

Step-by-step explanation:

To find the x-intercept, substitute in $0$ for $y$ and solve for $x$ .

$-4x + 7 = 2y - 3$

$-4x+7=2\left(\bold{0}\right)-3$

Simplify 2(0): $-4x+7=2\cdot \:0-3$

Subtract 0 - 3 = -3: $-4x+7=-3$

Subtract 7 from both sides: $-4x+7-7=-3-7$

Simplify: $-4x=-10$

Divide both sides by -4 $\frac{-4x}{-4}=\frac{-10}{-4}$

$\bold{x=\frac{5}{2}}$

To find the y-intercept, substitute in $0$ for $x$ and solve for $y$ .

$-4x + 7 = 2y - 3$

$-4(\bold{0})+7=2y-3$

Switch sides: $y-3=-4\left(0\right)+7$

Simplify -4(0): $2y-3=-0+7$

Add 3 to both sides: $2y-3+3=7+3$

Simplify: $2y=10$

Divide both sides by 2: $\frac{2y}{2}=\frac{10}{2}$

$\bold{y=5}$

3 0

2 years ago

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

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3 years ago