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natulia [17]
4 years ago
13

What are the slope and the y-intercept of the linear function that is represented by the equation y=9x-2? The slope is –2, and t

he y-intercept is 9. The slope is 2, and they y-intercept is 9. The slope is 9, and the y-intercept is –2. The slope is 9, and the y-intercept is 2.
Mathematics
1 answer:
MatroZZZ [7]4 years ago
6 0

Hello there!

Answer:

The slope is 9, and the y-intercept is –2

Step-by-step explanation:

The equation is y = 9x - 2

This follows the equation y = mx + b

Where as:

m = slope

b = y-intercept

When you know this, you would figure out that 9 is in the same place as m, and -2 is in the same place as b.

The y-intercept would not be a positive 2 because when there's a minus sign next to the number in the y-intercept spot, then you would have to bring that over to the number. We can also say the minus sign belongs to the 2, making it a -2.

With the information we know now, we can say that the slope of the equation is 9, and the y-intercept would be -2.

Therefore, giving your answer as "The slope is 9, and the y-intercept is –2"

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7 0
3 years ago
Simplify the expression please.
pishuonlain [190]

Answer:

tanx·secx

Step-by-step explanation:

To simply this, you can begin by factoring sin x out of the numerator to become:

\frac{sinx (sin^{2}x +cos^{2} x)}{cos^{2} x}

Now, using Pythagorean Trig Identities, we know that sin²x+cos²x equals 1. We can substitute this to make the equation become:

\frac{sinx}{cos^{2}x }

First of all, we can convert \frac{sinx}{cosx} to tanx. However, we have a remaining \frac{1}{cosx} which, using reciprocal identities, will become sec x.

Finally, we get our answer as tanx·secx.

4 0
4 years ago
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
Tema [17]

For this case we have the following equation:

1 + 3x = -x + 4

We must solve the equation by following the steps below:

We subtract 1 from both sides of the equation:

3x = -x + 4-1

On the right side of the equation we have that different signs are subtracted and the sign of the major is placed:

3x = -x + 3

We add x to both sides of the equation:

3x + x = 3\\4x = 3

We divide between 4 on both sides of the equation:

x = \frac {3} {4}

Thus, the correct option is option B

Answer:

x = \frac {3} {4}

Option B

6 0
4 years ago
Read 2 more answers
.....................​
algol13

Answer:

6/5 or 1 1/5

Step-by-step explanation:

2/3 * 9/5

~Multiply both numerators and denominators together

18/15

~Simplify

6/5

Best of Luck!

7 0
3 years ago
Read 2 more answers
Please help me out with this so I can keep my kitten.
notka56 [123]

Answer:

y = \frac{32}{3}

Step-by-step explanation:

Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

\frac{y}{8} = \frac{7}{12}  + \frac{3}{4}

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

\frac{3*3}{4*3} = \frac{9}{12}

Now add this to the other fraction:

\frac{9}{12} + \frac{7}{12} = \frac{16}{12}

This can be simplified down by dividing both the numerator and denominator by 4:

\frac{4}{3}

Which now simplifies the original equation to:

\frac{y}{8}  = \frac{4}{3}

Remove the y out of the fraction:

\frac{1}{8}y = \frac{4}{3}

Now multiply both sides by 8:

(\frac{1}{8}y) * 8 = (\frac{4}{3}) * 8

y = \frac{4*8}{3}

y = \frac{32}{3}

Hope this helps!

5 0
3 years ago
Read 2 more answers
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