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3 years ago

Complete the equation of the line whose slope is 5 and y intercept is (0,4)

Mathematics

1 answer:

irina1246 [14]3 years ago

7 0

y = 5x + 4 is the equation of the line whose slope is 5 and y intercept is (0,4)

Solution:

Given that, we have to write the equation of the line whose slope is 5 and y intercept is (0,4)

The equation of line in slope intercept form is given as:

y = mx + c ---- eqn 1

Where, "m" is the slope of line and "c" is the y - intercept

Given that, slope = m = 5

y intercept is (0, 4)

So, c = 4

Substitute c = 4 and m = 5 in eqn 1

y = 5x + 4

Thus the equation of line is found

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3 years ago

Halla el conjunto solución del siguiente sistema de ecuaciones aplicando el método de reducción: 2x + 3y = 8 x – 5y = 6

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Answer:

x = 7.535 and y = 0.307

Step-by-step explanation:

Given that,

Two equations,

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x – 5y = 6....(2)

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-2x + 10y = -12....(3)

Now, adding equations (1) and (2),

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3 years ago

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Read 2 more answers

Choose the linear inequality that describes the graph. The gray area represents the shaded region.

jek_recluse [69]

Answer:

2x + 3y ≥ 5

Step-by-step explanation:

See the graph attached.

The bold straight line passes through the points (1,1) and (4,-1).

Therefore, the equation of the straight line will be

$\frac{y + 1}{- 1 - 1} = \frac{x - 4}{4 - 1}$

⇒ 3(y + 1) = - 2(x - 4)

⇒ 3y + 3 = - 2x + 8

⇒ 2x + 3y = 5 ............. (1)

Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).

So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5

Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)

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3 years ago