All categories

1 year ago

What is the equation of the line shown in this graph? (-2,2) (-2,-3)

Mathematics

1 answer:

Fudgin [204]1 year ago

3 0

The equation of the line shown in this graph passing through the points (-2, 2) and (-2, -3) is x = -2

The standard equation of a line graph is expressed as $y=mx+c$

m is the slope of the line

c is the y-intercept

Given: coordinate points (-2, 2) and (-2, -3)

The coordinates are in the form of (x₁,y₁) and (x₂,y₂)

Slope of the equation is $(\frac{y2-y1}{x2-x1})$

So ,slope= $(\frac{-3-2}{-2+2})$

= $(\frac{-5}{0})$

=∝

Since the slope of infinity, this shows that the line is a vertical line. The standard equation of a vertical line is x = a

Since the x-coordinates are similar, hence a = -2

The equation of the line shown in this graph passing through the points (-2, 2) and (-2, -3) is x = -2

Learn more about equation of a line by:

brainly.com/question/17003809

#SPJ13

You might be interested in

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?

KatRina [158]

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

8 0

3 years ago

Read 2 more answers

What is 5 + 72? a 81 b 72 c 5 d 62

maxonik [38]

The answer is 77 but i don't see it as an option here ;/

6 0

3 years ago

How would I do number 5?

sukhopar [10]

N - 5 ≥ -2

5 - 5 ≥ -2

5 - 5 = 0

n = 5

5 - 5 ≥ -2

5 - 5 = 0

(0 ≥ -2)

3 0

3 years ago

What are the points for f(x)=3^(x-1)-2

Savatey [412]

Answer: (0, -1 $\frac{2}{3}$ ), (1, -1), (2, 1)

Step-by-step explanation:

Set the exponent equal to zero - that is your anchor point.

Then choose an x-value less than and greater than the anchor point.

$\left\begin{array}{c|c|l}&\underline{\quad x\quad }&\underline{\qquad \qquad f(x)\qquad \qquad \qquad \quad }\\\text{less than anchor}&0&3^{0-1}-2=3^{-1}-2=\frac{1}{3}-2 = -1\frac{2}{3}}\\\\anchor\ point&1&3^{1-1}-2=3^{0}-2=1-2 = -1}\\\\\text{greater than anchor}&2&3^{2-1}-2=3^{1}-2=3-2 = 1}\end{array}\right$

4 0

4 years ago

Sarah purchased a set of art supplies for $20.90 and a pair of jeans for $18.95.The sales tax rate in the state is 7%.How much c

mash [69]

Total purchase she did : $20.90+$18.95=$39.85
7% tax means that we have to 7% or (7/100) extra
7% X 39.85= 2.79
total pay: 39.85+2.79=42.64
total cash: $50
what she gets back: 50-42.64=7.36

8 0

4 years ago