1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
juin [17]
3 years ago
5

What's the slope-intercept form that passes through the points (0, -1) and (1, 5)?

Mathematics
1 answer:
Rzqust [24]3 years ago
5 0

Answer:

<h2>         y = 6x - 1</h2>

Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

(0, -1)    ⇒     x₁ = 0,  y₁ = -1

(1, 5)     ⇒     x₂ = 1,  y₂ = 5

So the slope:

                     \bold{m=\dfrac{5+1}{1-0}=\dfrac{6}{1}=6}

The slope-intercept form of the equation of line is y = mx + b, where m is the slope and b is the y-intercept of the line.

(0, -1)    ⇒     x₀ = 0,  y₀ = -1      ⇒   b = -1

Therefore:

                 y = 6x - 1          ←  the slope-intercept form of the equation

You might be interested in
On a coordinate plane, how are the locations of the points (-4 , -3) and (4 , -3) related?
Helga [31]

Answer:Dilation involves changing the size of a shape.

The true statement is that the locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

The given parameters are:

--- the scale factor

Multiply the coordinates of point E and F by the scale factor (k), to determine the new coordinates of E and F.

Given that line g is represented by points E and F; line g' would be represented by points E' and F'

So, both lines would be parallel.

Hence, the true option is (d)

Step-by-step explanation:

8 0
2 years ago
1) 2 (x+3) +3 (5-x)=
Ugo [173]

Answer:

Below

Step-by-step explanation:

1. 2 (x+3) +3 (5-x)=

Simplifying

2(x + 3) + 3(5 + -1x) = 0

Reorder the terms:

2(3 + x) + 3(5 + -1x) = 0

(3 * 2 + x * 2) + 3(5 + -1x) = 0

(6 + 2x) + 3(5 + -1x) = 0

6 + 2x + (5 * 3 + -1x * 3) = 0

6 + 2x + (15 + -3x) = 0

Reorder the terms:

6 + 15 + 2x + -3x = 0

Combine like terms: 6 + 15 = 21

21 + 2x + -3x = 0

Combine like terms: 2x + -3x = -1x

21 + -1x = 0

Solving

21 + -1x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0

0 + -1x = 0 + -21

-1x = 0 + -21

Combine like terms: 0 + -21 = -21

-1x = -21

Divide each side by '-1'.

x = 21

Simplifying

x = 21

2.  3 (y+2) -4y=-24y

Simplifying

3(y + 2) + -4y = -24y

Reorder the terms:

3(2 + y) + -4y = -24y

(2 * 3 + y * 3) + -4y = -24y

(6 + 3y) + -4y = -24y

Combine like terms: 3y + -4y = -1y

6 + -1y = -24y

Solving

6 + -1y = -24y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '24y' to each side of the equation.

6 + -1y + 24y = -24y + 24y

Combine like terms: -1y + 24y = 23y

6 + 23y = -24y + 24y

Combine like terms: -24y + 24y = 0

6 + 23y = 0

Add '-6' to each side of the equation.

6 + -6 + 23y = 0 + -6

Combine like terms: 6 + -6 = 0

0 + 23y = 0 + -6

23y = 0 + -6

Combine like terms: 0 + -6 = -6

23y = -6

Divide each side by '23'.

y = -0.2608695652

Simplifying

y = -0.2608695652

3.  -(x+2) -2(1-x)=

Simplifying

-1(x + 2) + -2(1 + -1x) = 0

Reorder the terms:

-1(2 + x) + -2(1 + -1x) = 0

(2 * -1 + x * -1) + -2(1 + -1x) = 0

(-2 + -1x) + -2(1 + -1x) = 0

-2 + -1x + (1 * -2 + -1x * -2) = 0

-2 + -1x + (-2 + 2x) = 0

Reorder the terms:

-2 + -2 + -1x + 2x = 0

Combine like terms: -2 + -2 = -4

-4 + -1x + 2x = 0

Combine like terms: -1x + 2x = 1x

-4 + 1x = 0

Solving

-4 + 1x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 1x = 0 + 4

Combine like terms: -4 + 4 = 0

0 + 1x = 0 + 4

1x = 0 + 4

Combine like terms: 0 + 4 = 4

1x = 4

Divide each side by '1'.

x = 4

Simplifying

x = 4

4. whats ? is the equation

6 0
3 years ago
How r u so good at this
iren [92.7K]

Answer:

Step-by-step explanation:

Good at what?

4 0
2 years ago
Read 2 more answers
62=−3k+7(k+6)+4<br><br> solve for k
guajiro [1.7K]

Step-by-step explanation:

62= -3k + 7k + 42 + 4

62 - 42 - 4 = 4k

16 = 4k

4 = k

7 0
3 years ago
If f(x)=-x^2+3X +5 and g(x)=X^2 +2x, which graph shows the graph of (f+g)(x)?
lana [24]

Answer:

Step-by-step explanation:

+ We find the function (f+g)(x) like

(f+g)(x)= f(x) + g(x) = x^2 +3x+5 + x^2 + 2x = 2x^2 +5x + 5

+ So the graph of (f+g)(x) is a parabole with the sommet (-5/4, 15/8).

Hope that useful for you.

5 0
3 years ago
Other questions:
  • In the equation A = bh,<br> СС<br> what does each of the<br> variables stand for?
    5·1 answer
  • Kiki made $570 last week for 40 hours of work. This week she worked 36
    13·1 answer
  • Please help need someone
    8·1 answer
  • Simplify: 6(m+3n)-(7+4n)
    6·1 answer
  • I neeed helppppppppppp
    11·2 answers
  • Help me with this problem please.
    7·2 answers
  • Breeding race horse for speed is an example of
    13·2 answers
  • Solve the system of equations. 5x−4y=−10 -4x + 5y = 8
    10·1 answer
  • What is 2+1000000000
    11·2 answers
  • #
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!