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UkoKoshka [18]
3 years ago
9

Based on the graph, what are the rate of change and the y intercept of the line.

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0

Answer:

The rate of change is 1/2 and the y-intercept is 1

Step-by-step explanation:

You can calulate the rate of change by picking two points on the graph and using the slope formula

(y2-y1)/(x2-x1)

so in this example you can use the points (2,2) represeting (x1,y1) and (4,3) representing (x2,y2)

When you plug into the slope formula you get:

(3-2)/(4-2) = 1/2 which is the slope.

The y-intercept is where the line intersects the y=axis and can be  seen as the coordinate pair (0, #) where the # is the y intercept. From the graph you can see the y-intercept is 1, but you can aslo solve for the y-intercept using the slope-intercept equation:

y=mx+b

where b is the y-intercept and m is the slope.

so using a slope of 1/2 and a coordinate of (2,2) you get:

y-2=(1/2)(x-2)

y = (1/2x)-1+2

y = (1/2x) + 1

so now the equation is in slope-intecept form and you can see the slope is 1/2 and the y-intercept is 1

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Line CD passes through (0.1) and is parallel to x +y = 3. Write the standard form of the equation of line CD.
Drupady [299]

Answer:

y = -x + 1

Step-by-step explanation:

We are asked to find the equation of a line parallel to

x + y = 3

Step 1: find the slope

x + y = 3

Following the equation of a line

y = mx + c

3 - x = y

-x + 3 = y

y = -x + 3

Slope m = -1

Step 2: substitute m = -1 into the equation

y - y_1 = m( x - x_1)

Using the point ( 0 , 1)

x_1 = 0

y_1 = 1

y - 1 = m( x - 0)

m = -1

y - 1 = -1 ( x - 0)

Open the bracket

y - 1 = -1x + 0

y - 1 = -x

y = -x + 1

The equation of the line is

y = -x + 1

3 0
3 years ago
What is 8,000,000,60,0000,53 expanded form
umka21 [38]
8,(14 Zeros after)+
6, (7 Zeros after)+
50+
3
so.
800000000000000+
60000000+
50+3
im not good with placing the commas though
7 0
3 years ago
At what value of x do the graphs of the equation below intersect ?<br> 2x-y=6<br> 5x+10y=-10
Y_Kistochka [10]

Answer:

x = 2

Step-by-step explanation:

Solve the two equations simultaneously....whereby you substitute y = 2x - 6 from the above equation into the second equation...

where...; 5x + 10(2x - 6) = -10

5x + 20x - 60 = -10...then move the variables with x to one side...

5x + 20x = -10 + 60

25x = 50

;Therefore...the value of x at intersection point = 2

5 0
3 years ago
Paying yourself first is done by
Strike441 [17]
A would be the correct answer.
5 0
3 years ago
38,503 rounded to the nearest ten thousand
skad [1K]

Answer:

39,000

Step-by-step explanation:

8 0
3 years ago
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