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jenyasd209 [6]
3 years ago
14

Does anybody understand writing equations in slope intercept form?

Mathematics
2 answers:
irakobra [83]3 years ago
6 0

Hello!

Explanation: The y-intercept is the point on a graph at which the graph crosses the y-axis.

Slope-Intercept Form: y=mx+b

Let m represent the slope.

(0¹,b¹) (x²,y²)

m=rise/run=y-b/x-0

x(m)=y-b/x)x

mx=y-b

+b    +b

mx+b=y

And switch sides of an equation.

y=mx+b

Hope this helps!


aleksandr82 [10.1K]3 years ago
4 0

slope intercept form

y=mx+b

where m is the slope and b is the y intercept

if we change from point slope form

y-y1 = m(x-x1)

we distribute

y-y1 = mx -x*x1

then add y1 to each side

y = mx -x*x1+y1


remember x and y are variables and should stay in the equation

m,x1,y1 are numbers from the problem

you may have to calculate the slope (m) from the formula

m = (y2-y1)/(x2-x1)  from two points on the line

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never [62]

Answer:

(a). A_{x} = \left[\begin{array}{cc}12&-4\\66&6\end{array}\right]

Step-by-step explanation:

\left \{ {{5x-4y=12} \atop {3x+6y=66}} \right.

A = \left[\begin{array}{cc}5&-4\\3&6\end{array}\right]

A_{x} = \left[\begin{array}{cc}12&-4\\66&6\end{array}\right]

A_{y} = \left[\begin{array}{cc}5&12\\3&66\end{array}\right]

5 0
3 years ago
Which of the following values is a solution of 12.6 less than or equal to 3x
Alex

Answer:

x≤4.2

Step-by-step explanation:

12.6 ≤ 3x

1. Divide both sides by 3

2. 12.6÷3= 4.2

x≤4.2

4 0
3 years ago
If y = ax^2 + bx + c passes through the points (-3,10), (0,1) and (2,15), what is the value of a + b + c?
In-s [12.5K]

Hi there!

\large\boxed{a + b + c = 6}

We can begin by using the point (0, 1).

At the graph's y-intercept, where x = 0, y = 1, so:

1 = a(0)² + b(0) + c

c = 1

We can now utilize the first point given (-3, 10):

10 = a(-3)² + b(-3) + 1

Simplify:

9 = 9a - 3b

Divide all terms by 3:

3 = 3a - b

Rearrange to solve for a variable:

b = 3a - 3

Now, use the other point:

15 = a(2)² + 2(3a - 3) + 1

14 = 4a + 6a - 6

Solve:

20 = 10a

2 = a

Plug this in to solve for b:

b = 3a - 3

b = 3(2) - 3 = 3

Add all solved variables together:

2 + 3 + 1 = 6

5 0
3 years ago
Adam had -$76 in his account. He then deposited $322. How much was in his account after his deposit?
ohaa [14]

Answer:

-398  

Step-by-step explanation:

-76 - 322

i hope it wroks

5 0
3 years ago
What is the vertex of the absolute value function below? (4, –1) (1, –4) (1, 4) (4, 1)
mixas84 [53]

The correct answer is: (4,1)

Explanation:

First let me explain you what a vertex is (in non-bookish terms).

(In simple words) Vertex is a (common) <em>point</em> where<em> two rays or line segments meet</em>. This definition holds when we talk about straight lines (while looking at the graph). In the graph of absolute valued function attached with the question, you can see there are two lines, one going up (increasing) and the other going down (decreasing), and both <em>meet</em> at <em>x = 4</em>. Now look at the value of <em>y</em> at <em>x = 4</em>. It is +1. In other words, you can say that at x = 4, there is a transition in a graph.

Therefore, the vertex of the absolute value function is (4, 1).


Information: The definition of vertex totally changes when we talk about parabola, or any non-linear equation. In that case, the vertex is the peak value of the graph (where there is a transition). The peak could be positive or negative depending upon the graph or equation; however, in the case of straight lines, adhere to what I explained above. Goodluck!


-i

6 0
4 years ago
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