All categories

2 years ago

Write an equation in slope-intercept form that passes through (2, -3) and slope of -5.

Mathematics

1 answer:

Ksivusya [100]2 years ago

8 0

Step-by-step explanation:

Hey there!

The given slope is "-5" and it passes through point (2,-3).

Use one-point formula to find out the equation.

$(y - y1) = m(x - x1)$

Put all values.

$(y + 3) = - 5(x - 2)$

Simplify it.

$(y + 3) = - 5x + 10$

$y = - 5x + 10 - 3$

$y = - 5x + 7$

Therefore, the equation is y= -5x+7.

Hope it helps...

You might be interested in

Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

3 0

2 years ago

Definition: The probability of an occurrence of a single event is called ___ probability.

Sonja [21]

Answer:

1/6

Step-by-step explanation:

A six sided die has 6 options, you can roll a 1,2,3,4,5,6. You cannot "remove" numbers and with a single die, you can't roll anymore than one number at a time. 2 is one option out of 6, therefore your answer is 1/6.

8 0

2 years ago

Read 2 more answers

How do you find the surface area of this shape? (20 POINTS)

Ainat [17]

you surface area is 1476.66

7 0

3 years ago

In a certain Algebra 2 class of 28 students, 16 of them play basketball and 15 of them play baseball. There are 8 students who p

kicyunya [14]

20/28 = 5/7

Step-by-step explanation:

Step 1 :

Total number of students in the algebra class is 28

Given that the number of students who play neither sport = 8

Step 2 :

Probability that a student randomly chosen does not play any sport is obtained by number of students who play neither sport/ total number of students

Hence probability is 8/28

Step 3 :

The probability that a student randomly chosen plays either basketball or base ball = 1 - 8/28 = 20/28 = 5/7

7 0

2 years ago

Find the value of the polynomial y^2- 5 Y + 6 at Y= -1

lilavasa [31]

Answer:

Step-by-step explanation:

Substitute y = - 1 into the polynomial and evaluate

(- 1)² - 5(- 1) + 6 = 1 + 5 + 6 = 12

5 0

2 years ago