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Alexus [3.1K]
3 years ago
12

Can someone please give me an equation in slope-intercept form for this graph?

Mathematics
1 answer:
Scilla [17]3 years ago
4 0

Answer:

substitute y = mx +b = (2/3)x -2

Step-by-step explanation:

slope intercert form looks like this

y = mx + b

m is the slope

b is the y intercept

The line intercepts the y at -2

To find slope, pick 2 points to find the slope

m = (y2 - y1)/(x2-x1)

i select point 1 (0,-2) and point 2 (3,0)

m = (0-(-2))/(3-0) = (2)/3

substitute y = mx +b = (2/3)x -2

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I need the answer to y=2x+7 in a graph and passes through (3,3)
nevsk [136]

The slope-intercept form is y = 2x-3.

<u>Step-by-step explanation</u>:

Given,

  • The equation of the line is y=2x+7.
  • The general equation of the line is in the form y= mx+c.
  • where 'm' represents the slope of the line.

<u>Comparing the given equation with general equation, it can be determined that</u> :

m = 2 and c = 7 (y-intercept).

The given line passes through the point (3,3) which is equal to (x1,y1)

Therefore, x1=3 and y1=3.

Substitute m=2 and the values of (x1,y1) in the slope-intercept form,

The slope-intercept form is (y-y1) = m (x-x1)

(y-3) = 2(x-3)

y = 2x-6+3

y = 2x-3

4 0
3 years ago
If a train was traveling at 80 mph to the next station and it arrived 6 hours later, how far the train travel to get to the stat
Vikki [24]

Answer:

80 x 6 =480

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The parent function f(x) = x^2 is vertically stretched by a scale factor of 2, translated 14 units right, and 6 units up. Which
Elena-2011 [213]

Answer:

(1)\; G(x)=2(x-14)^2+6

Step-by-step explanation:

Assuming, right and up are positive directions.

The given parent function, f(x)=x^2

Let f_1(x) be the function when the parent function is stretched by a scale factor of 2.

So, f_1(x)=2f(x)

\Rightarrow f_1(x)=2x^2

Let f_2(x) be the function when f_1(x) is translated 14 units right.

So, f_2(x)=f_1(x-14)

\Rightarrow f_2(x)=2(x-14)^2

Again, let f_3(x) be the function when f_2(x) is translated 4 units up.

So, f_3(x)=f_2(x)+6

\Rightarrow f_3(x)=2(x-14)^2+6

So, the resulting function, f_3(x)=G(x)=2(x-14)^2+6.

Hence, option (1) is correct.

4 0
3 years ago
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