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2 years ago

A line passes through the points (4, 9) and (12, 20). What is the slope of the line?

Mathematics

1 answer:

Mashutka [201]2 years ago

4 0

Answer:

$\frac{11}{8}$

Step-by-step explanation:

→ State the gradient formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ Find x₁ , x₂ , y₁ and y₂

x₁ = 4 , x₂ = 12 , y₁ = 9 and y₂ = 20

→ Substitute in the values

$\frac{20-9}{12-4}$

→ Simplify

$\frac{11}{8}$

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What is the slope of a line that contains the points (2,2) and (4,4)

Gre4nikov [31]

Answer:

m = 1

Step-by-step explanation:

Slope is defined as m = rise / run.

As we move from (2,2) to (4,4), x increases by 2 and y increases by 2.

Thus, the slope of this line is m = rise / run = 2/2 = 1: m = 1

5 0

2 years ago

Point B has coordinates (2,1). The x-coordinate of point A is negative 1. The distance between point A and point B is 5 unit

Gwar [14]

Answer:

A = (-1,5) or (-1,-3)

Step-by-step explanation:

A = (-1,y) B = (2,1)

(Distance from A to B) = √[(-1-2)² + (y-1)²] = 5

=√[9 + y² - 2y + 1] = 5

Squaring on both sides

= y² - 2y + 10 = 25

=y² - 2y -15 = 0

= (y-5)(y+3) = 0

y = 5 or -3

Therefore, A = (-1,5) or (-1,-3)

6 0

3 years ago

Read 2 more answers

Yan is climbing down a ladder. Each time he descends four rungs on the ladder, he stops to see how much farther he has to go

anastassius [24]

Question:

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stopped to see how much farther he has to go. If Yan made eight stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan and climbed?

4+4+4+4

8+8+8+8

(-1)(4+4+4+4)

(-8) + (-8) + (-8) + (-8)

Answer:

$Total = (-8) +(-8) +(-8) +(-8)$

Step-by-step explanation:

Given

$Rungs = -4$ --- It is negative because he is climbing down

$Steps = 8$

Required

An expression for the number of rungs climbed

To do this, we simply multiply the number of rungs by the steps taken.

$Total = Rungs * Steps$

$Total = -4 * 8$

This can be rewritten as:

$Total = -8 * 4$

The product, when written as sum is:

$Total = (-8) +(-8) +(-8) +(-8)$

8 0

2 years ago

You need 3 sticks of butter for every 24 cookies you bake

andriy [413]

Umm...not sure what your question is, but to make 10 cookies you would need 1.25 sticks of butter, and to make 48 cookies you would need 6 sticks of butter. Hope this helps!

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2 years ago

Can anybody help me with this question?

adelina 88 [10]

Answer:

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2 years ago