What is the equation of a line that passes through (1, 3) and has a slope of 2?

Answers

Answer 1
Answer: y=mx+bm=slopeb=y intercepty=2x+bsubsitute point(x,y)(1,3)x=1y=3subsitute3=2(1)+b3=2+bsubtract 21=bequationy=2x+1

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Find the slope and y-intercept of the line 6x + 2y = –88 help quick please

Answers

  6x + 2y = -88
- 6x           - 6x
          2y = -6x - 88
           2           2
            y = -3x - 44

Slope: -3
Y-Intercept: -44
6x+2y=-88
2y=6x-88
y=3x-44
y=mx+b
b is the y-intercept, m is the slope
use this next time. please. you need to know this

Find the solution set. 9x^2+3x-2=0 separate the two values with with a comma.

Answers

Answer:

x = -2/3, 1/3

Step-by-step explanation:

Step 1: Factor

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

Step 2: Find roots

3x + 2 = 0

3x = -2

x = -2/3

3x - 1 = 0

3x = 1

x = 1/3

Answer:

Step-by-step explanation:

factor ; (3x-1)(3x+2)=0

then make both 3x-1 and 3x+2 equal to 0

(3x-1)=0   solve        3x+2=0

+ 1      +1                        -2   -2

_______                  _______

3x = 1                       3x = -2

x =1/3                       x= -2/3

check for to make sure both solutions work by plugging back into the equation

Graph the parabola. y=x^2 -4 where do i put the points

Answers

To generate a point, you plug in a number for x to get the corresponding y value.

If x = 0 for instance, then the y value is...

y = x^2 - 4

y = 0^2 - 4 ... x is replaced with 0

y = 0 - 4

y = -4

So x = 0 and y = -4 pair up to get the point (0,-4). This is the y intercept as the parabola crosses the y axis here. It turns out that this is also the vertex point as it is the lowest point on the parabola.

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If x = 1, then,

y = x^2 - 4

y = 1^2 - 4

y = 1 - 4

y = -3

meaning (x,y) = (1,-3) is another point on this line.

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Repeat for x = 2

y = x^2 - 4

y = 2^2 - 4

y = 4-4

y = 0

Since we got a y output of 0, we have found an x intercept located at (2,0). The other x intercept is (-2,0).

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The idea is to generate as many points as possible. Plot all of the points on the same xy coordinate grid. Then draw a curve through those points the best you can. You should get what you see in the diagram below. I used GeoGebra to make the graph. Desmos is another handy tool I recommend.

Note: the more points you generate, the more accurate the graph will be

a computer monitor is regularly priced at $320. during a two day sale the price was decreased to$240. which of the following is the percentage decrease of the monitors price during the sale?

Answers

In the question there are several information's worth taking note of. based on the given information's the required answer can be easily deduced. It is already given that the regular price of the computer monitor is $320. It is also given that during a two day sale the monitor price was decreased to $ 240. It is required to find the percentage decrease in the price of the monitor during the sale period.
Difference in price of the monitor = (320 - 240) dollars
                                                      = 80 dollars.
Percentage of price decrease of the monitors = (80/320) * 100
                                                                           = 100/4
                                                                           = 25
So the price of the computer monitor was reduced by 25%.

PLEASE ANSWER ASAP 20 POINTS + BEST GETS CHOSEN AS BRAINLIESTFind f(x+h)-f(x)/h for f(x) = x + 4.

Answers

f(x)=x+4\n\n(f(x+h)-f(x))/(h)=((x+h+4)-(x+4))/(h)\n\n=(x+h+4-x-4)/(h)=(h)/(h)=1

Peter says, "If you subtract 14 from my number and multiply the difference by - 6, the result is - 90." What is Peter's number? Peter's number is​

Answers

Translating the phrases into algebraic equation, peter's number would be: 29.

Representing Word Problems with Algebraic Expressions

Let the unknown value be variable x, then translate the phrases given into algebraic expressions and solve for the unknown variable.

Let Peters number be x

  • Therefore:

-6(x - 14) = -90

Solve for x

-6x + 84 = -90

-6x = -90 - 84

-6x = -174

  • Divide both sides by -6

x = 29

Therefore, translating the phrases into algebraic equation, peter's number would be: 29.

Learn more about algebraic equation on:

brainly.com/question/2164351

Answer:

29

Step-by-step explanation:

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