All categories

2 years ago

1. Write an equation for a line in slope intercept form that passes through (0,5) and has a slope of 2

Mathematics

2 answers:

SIZIF [17.4K]2 years ago

6 0

Answer:

equation of line: y = 2x + 5

Explanation:

using the formula:

y - y1 = m(x - x1)

y - 5 = 2(x - 0)

y - 5 = 2x

y = 2x + 5

san4es73 [151]2 years ago

6 0

Solution:

Note that:

Slope = m = 2
Given point: (0,5)
Formula: y - y₁ = m(x - x₁)

Use the formula to find the equation of the line.

y - 5 = 2(x - 0)
=> y = 2(x - 0) + 5
=> y = 2x - 0 + 5
=> y = 2x + 5

The equation of the line is y = 2x + 5.

You might be interested in

Which property of equality is used in solving x + 8 = 9?

stiv31 [10]

Answer:

Subtraction Property of Equality.

Step-by-step explanation:

To solve x + 8 = 9, you need to subtract 8 from both sides of the equation. So, you would be using the Subtraction Property of Equality.

Hope this helps!

8 0

2 years ago

Read 2 more answers

Which of the following statements are true about the lengths of the trails? Check all that apply.

SVEN [57.7K]

Where are the options?

3 0

2 years ago

PLEASE HELP QUICK 100 POINTS

MrRissso [65]

Answer:

Change per week: $20

Starting amount of money: $550

Step-by-step explanation:

Given equation:

$y=550+20x$

where:

x = number of weeks
y = total account balance

Change per week

As the variable x represents the number of weeks, its coefficient represents the change per week in the amount of money.

Therefore, the change per week in the amount of money in the account is $20.

Initial Balance

The starting amount of money in the account (initial balance) will be the value of y when x = 0:

$\implies y=550+20(0)=550$

Therefore, the starting amount of money in the account is $550.

4 0

1 year ago

If the 6 in 14,563 was changed to a 9 ,how much would the value change

AnnyKZ [126]

Answer:

It would change by 30 points

Step-by-step explanation: If you block the rest of the numbers you would see 63 change to 93. 93-63=30 so it would change by 30 points

8 0

2 years ago

Please can I have an explanation also, I am terrible at these kinds of questions!

wlad13 [49]

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

$\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]$

Knowing that:

$\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]$

$\displaystyle \frac{y}{b}=\frac{5}{4}$

Multiplying the equations above:

$\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}$

Simplifying:

$\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]$

Dividing [1] by r:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}$

Substituting from [2] and [3]:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}$

Operating:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}$

The fraction of the beads that are red is $\mathbf{\frac{10}{37}}$

8 0

2 years ago