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vredina [299]
3 years ago
8

What is the slope intercept form of the equation for the line that has a slope of -2 and a y-intercept of 3?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0

Answer:

y = - 2x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 2 and c = 3, hence

y = - 2x + 3 ← equation in slope- intercept form

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Following the order of operations, exponents should be simplified after completing all multiplication and division.
xenn [34]
False

Exponents should not be simplified.
6 0
3 years ago
Order the group of parabolas from widest to narrowest.
Mamont248 [21]

Answer:

\large\boxed{y=\dfrac{1}{4}x^2,\ y=-\dfrac{1}{2}x^2,\ y=\dfrac{3}{2}x^2}

Step-by-step explanation:

The equation of a parabola: y = ax²

The larger the value of |a|, the narrower the parabola.

We have the following coefficients a:

\left|\dfrac{1}{4}\right|=\dfrac{1}{4},\ \left|-\dfrac{1}{2}\right|=\dfrac{1}{2},\ \left|\dfrac{3}{2}\right|=\dfrac{3}{2},

We arrange the coefficients from the smallest to the largest:

\dfrac{1}{4}\

Therefore you have the answer:

y=\dfrac{1}{4}x^2,\ y=-\dfrac{1}{2}x^2,\ y=\dfrac{3}{2}x^2

6 0
3 years ago
Find the slope-intercept form of the equation of the line through the point (0, -4) and (1, 0).
Arisa [49]

Answer:

The Slope Intercept form of the equation through the point (0, -4) and

(1, 0)  is  y = 4 x - 1

Step-by-step explanation:

Here, the given points are A (0,-4) and B(1,0)

Now, slope of the equation with points (a,b) and (c,d) is given as

m = \frac{d - b}{c -a}

So, here the slope of the line AB is given as:

m = \frac{0 - (-4)}{1-0} = \frac{4}{1}  = 4

⇒ m = 4

Now, by POINT SLOPE  form:

The equation with slope m and point  (x0 , y0) is represented as :

(y-y0)  = m (x-x0)

⇒ The equation of AB is of the form with point (1,0) is

y - 0 = 4 (x -1)

or, y = 4 x - 1

Also, the SLOPE INTERCEPT form of an equation is of the form

y = m x + C ;     m = slope and C =  y -intercept

Hence, the slope intercept form of the equation through the point (0, -4) and (1, 0)  is  y = 4 x - 1

4 0
3 years ago
If a is half b , and b is twice c , then a:c=​
faust18 [17]

Answer: a/c = 1

a/b = 1/2 => a = 1/2 .b

b/c = 2 => c = 1/2 .b

=> a/c = (1/2.b)/(1/2.b) = 1

Step-by-step explanation:

4 0
3 years ago
What's the graph of y=3x-5​
Svetach [21]

Answer:

Step-by-step explanation:

6 0
2 years ago
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