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3 years ago

A line has an x-intercept of 2 and a y-intercept of 5. What is the equation of the line?

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

y = -2.5x + 5

Step-by-step explanation:

Here, given the x and y intercept, we want to write the equation of the line

The general equation form is;

y = mx + b

where m is the slope and b is the y-intercept

Using the given points, we have that;

(2,0) and (0,5)

b is 5

so we have;

y = mx + 5

to get m, set (2,0); x = 2 and y = 0

0 = 2m + 5

2m = -5

m = -5/2 = -2.5

So the equation is;

y = -2.5x + 5

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PLEASE HELP ME!

kotegsom [21]

Answer:

Bottom left graph

Step-by-step explanation:

We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

−2x + y ≤ 4 >> Original Standard Equation

+ 2x + 2x

_________

y ≤ 2x + 4 >> Slope-Intercept Equation

−2[0] + 0 ≤ 4

0 ≤ 4 ☑ [We shade the part of the graph that CONTAINS THE ORIGIN, which is the right side.]

$\displaystyle y > x + 2 \\ \\ 0 ≯ 2$ [We shade the part of the graph that does not contain the origin, which is the left side.]

So, now that we got that all cleared up, we can tell that the graphs share a region in between each other and that they both have POSITIVE RATE OF CHANGES [SLOPES], therefore the bottom left graph matches what we want.

** By the way, you meant $\displaystyle y > x + 2$ because this inequality in each graph is a dashed line. It is ALWAYS significant that you be very cautious about which inequalities to choose when graphing. Inequalities can really trip some people up, so once again, please be very careful.

I am joyous to assist you anytime.

7 0

4 years ago

Which fraction is equal to 0.45 REPEATING? A.5/11 B.41/99 C.41/90 D.41/9

Mazyrski [523]

Answer:

A is the answer to your problem

4 0

3 years ago

Read 2 more answers

Half for Mr. Carson’s students play a sport. Of the students, 2/3 or males. My Half of Mr. Carson’s students play a sport. Of th

jok3333 [9.3K]

Answer:

The fraction of male student who play sport is $\frac{3}{4}$

Step-by-step explanation:

Given as :

Out of the total number of students , the fraction of male = $\frac{2}{3}$ of total number of students

Let the total number of students = x

So, The fraction of male student = $\frac{2}{3}$ of x

I.e The fraction of male student = $\frac{2 x}{3}$

Again

The number of students who play sports = $\frac{1}{2}$ of total number of students

Or, The number of students who play sports = $\frac{1}{2}$ of x

Or, The number of students who play sports = $\frac{x}{2}$

Let The total number of male student who play sport = y

So, According to question

$\frac{2 x}{3}$ of y = $\frac{x}{2}$

I.e $\frac{2 x}{3}$ × y = $\frac{x}{2}$

or, y = $\frac{\frac{x}{2}}{\frac{2 x}{3}}$

∴ y = $\frac{3}{4}$

So, The total number of male student who play sport = y = $\frac{3}{4}$

Hence ,The fraction of male student who play sport is $\frac{3}{4}$ Answer

3 0

3 years ago

If using the method of completing the square to solve the quadratic equation x^2+13x+15=0 which number would have to be added to

Ray Of Light [21]

Answer:

The number to be added to complete the square is (13/2)^2

But the solved value for x are:

x = 11.71 or -1.28

Step-by-step explanation:

x ^ 2 + 13x + 15 = 0

x^2 + 13x = -15

(The coefficient of x^2 is 1, hence needless diving through)

Add the square of half the coefficient of x to both sides

x^2 + 13x + (13/2)^2 = -15 + ( 13/2)^2

(x + 13/2)^2 = -15 + 169/4

(x + 13/2)^2 = 109/4

Take the square of both sides

x + 13/2 = +-10.44/ 2

x = 10.44/2 + 13 /2

x = 23.44/2

x = 11.71

x = 10.44/2 - 13/2

x = -2.56/2

x = -1.28

Therefore x = 11.71 or -1.28

But the number to be added to complete the square is (13/2)^2

Lets keep learning, maths is fun

8 0

3 years ago

Malika charges $7.20 per hour for babysitting. She babysits 4 hours each week. She spends $10 per week and puts the rest of her

Juliette [100K]

$7.20 $28.8 $18.8 $225.6 $225.6
      4     $10     12          .25    $56.4
X___     -_____    X____ X_____ +_____
$28.8    $18.8 225.6 $56.4 $282

You multiply $7.20 by the 4 hours she's working and you'll get $28.80. Then you would subtract the $10 from your answer and get $18.80. Then you'd multiply $18.80 by 12 for the mouths she's working and get $225.60. Next you multiply $225.60 by .25 from the grandparents and get $56.40. Finally you add $225.60 to $56.40 and get $282 in her savings account.

5 0

3 years ago