write an equation in slope intercept form with the given information. slope=-1; passes through the point (-4,10)

In order to solve for the variable in the equation 2 (x + 3) + 5 x = 3 (2 x minus 1), Jaleesa begins by applying the distributiv

avanturin [10]

Answer: 7 x + 6 = 6 x minus 3

Step-by-step explanation:

2 (x + 3) + 5 x = 3 (2 x minus 1)
Now you distribute.
2(x) + 2(3) = 2x+6
And 3(2x) minus 3(1) = 6x minus 3
2x+6+5x = 6x minus 3
Then combine like terms
2x +5x=7x and there are no other like terms on either side of the equation.
7x+6= 6x minus 3

8 0

3 years ago

Read 2 more answers

A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?

timurjin [86]

Answer:

y = 6x + 22

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-3, 14)

Point (-1, 16)

Step 2: Find slope m

Substitute: $m=\frac{16-14}{-1+3}$
Subtract/Add: $m=\frac{12}{2}$
Divide: $m=6$

Step 3: Find y-intercept b

Define: y = 6x + b
Substitute: 16 = 6(-1) + b
Multiply: 16 = -6 + b
Isolate b: 22 = b
Rewrite: b = 22

Step 4: Write linear equation

y = 6x + 22

5 0

3 years ago

A ship is moving at a speed of 30 km/h parallel to a straightshoreline. The ship is 6 km from the shore and it passes alighthous

natita [175]

Answer:

A) S = f(d) = √(36 + d²)

B) d = g(t) = 30t

C) f o g = √(36 + 900t²)

Explanation:

A) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon;that is, find f so that s = f(d)

Refer to the attached image and observe that ship starts moving from point I towards point N which represents the position of ship at noon.

From point I to point N ship covers the distance d.

From point I to point L (lighthouse) the distance is S.

A triangle is formed and we want the distance S so we will apply the Pythagorean theorem

IL² = NL² + IN²

S² = 6² + d²

S = √(36 + d²)

Therefore, the function is S = f(d) = √(36 + d²)

B) Express d as a function of t, the time elapsed since noon;that is, find g, so that d = g(t)

Since the ship is moving at a speed of 30 km/h and let t represents the time taken to move from I to N then

d = 30t

or

d = g(t) = 30t

C) Find f o g. What does this function represent?

Since we have already found f(d) and g(t) we can find f o g.

f(d) = √(36 + d²) and d = g(t) = 30t

substitute d = g(t) = 30t into f(d)

f o g = √(36 + (g(t))²)

f o g = √(36 + (30t)²)

f o g = √(36 + 900t²)

This function simply represents the distance from point I to point N to point L which is the longer distance from the initial position of ship to the lighthouse.