# Given the equation of a line is5x - 4y = 24What is the slope of the line?What is the y-intercept?

the slope of the line is , and the y-intercept occurs at y = -6  (0, -6) on the plane

Step-by-step explanation:

In order to find the slope and y-intercept, we need to solve for y in the equation, and look at the coefficient accompanying the term in "x" (the slope), and at the pure numerical term (y-intercept):

Therefore the slope of the line is , and the y-intercept occurs at y = -6  (0, -6) on the plane

## Related Questions

Simplify the expression:
3+ – 5(4+ – 3v)

## 15v - 17

Step-by-step explanation:

3+ – 5(4+ – 3v) can be written as

3 - 5( 4 - 3v)

Expand and simplify

That's

3 - 20 + 15v

15v - 17

Hope this helps you

Sally's bank account had a balance of 230 at the beginning of the month. She had two deposits of 50 and 420 and just one withdrawal of 190. Her balance at the end of the month was \$______ ?

510

Step-by-step explanation:

Sally bank account had a beginning balance of 230

She made two deposits of 50 and 420

50+420

= 470

She made a withdrawal of 190

Therefore her balance at the end of the month can be calculated as follows

470+230

= 700

= 700-190

= 510

Hence the balance at the end of the month is 510

Let C be the unit circle in the xy-plane, oriented counterclockwise as seen from above. The divergence of the vector field F~ = (z, x, y) is zero, and as a result the flux through every surface with boundary C should be the same. Confirm that this is the case with the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane

Upper half of the unit sphere (call it ): parameterize by

with and . Take the normal vector to be

Then the flux of over this surface is

Lower half of the sphere (call it ): all the details remain the same as above, but with . The flux is again .

Unit disk (call it ): parameterize the disk by

with and . Take the normal vector to be

Then the flux across is

The flux through every surface with boundary C, such as the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane, should be the same and it is zero.

### Explanation:

The divergence of the vector field F~ = (z, x, y) is zero. Therefore, the flux through every surface with boundary C, such as the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane, should be the same.

This can be confirmed by considering that the electric flux through a closed surface is zero if there are no sources of electric field inside the enclosed volume. Since there are no charges inside the surfaces mentioned, the flux through each surface is zero.

Therefore, the flux through the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane is the same, and it is zero.

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40 deg

Step-by-step explanation:

The vertical sides of the rectangle are parallel, so the triangle is a right triangle.

The triangle is a right triangle, so the acute angles are complementary.

The bottom right angle of the triangle measures 90 - 50 = 40 deg.

The bottom line and the top side of the rectangle are parallel, so corresponding angles are congruent. x and the 40-deg angle are corresponding angles, so they are congruent.

x = 40 deg.

Without graphing, find the slope of the line that goes through each pair of coordinate points ( - 3 , - 2 ) and ( - 1 , - 5 )

The slope is: -3/2 and we get this by doing (y2-y1)/(x2-x1).

Calculate S37 for the arithmetic sequence in which a7 = 25 and the common difference is d=-1.7

The value of 37th term of the arithmetic sequence will be;

⇒ - 26

What is Arithmetic sequence?

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The values are,

⇒ a₇ = 25

And, The common difference is d = -1.7

Now,

Since, The nth term of arithmetic sequence is;

⇒ a(n) = a + (n - 1)d

And, ⇒ a₇ = 25

So, We get;

⇒ a₇ = a + (7 - 1) (- 1.7)

⇒ 25 = a + 6 × - 1.7

⇒ 25 = a - 10.2

⇒ 25 + 10.2 = a

⇒ a = 35.2

So, The 37th term of the arithmetic sequence is;

⇒ a₃₇ = 35.2 + (37 - 1) (- 1.7)

⇒ a₃₇ = 35.2 + 36 × - 1.7

⇒ a₃₇ = 35.2 - 61.2

⇒ a₃₇ = - 26

Thus, The value of 37th term of the arithmetic sequence will be;

⇒ - 26