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Question number 4 please help

Question number 4 please help-example-1
User Adesina
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2 Answers

3 votes

Answer:

The correct answe is H , if yu sub the x value in each of the equations yu should get y

User Dmitry Tsarkov
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7.8k points
11 votes

Linear Equations

Linear equations are typically organized in slope-intercept form:
y=mx+b

  • m = the slope
  • b = the y-intercept (the value of y when x=0)

To find the slope of a line (m):

  1. Find the coordinates of two points that fall on the line
  2. Plug them into the following formula:

  • m=(y_2-y_1)/(x_2-x_1) where
    (x_1,y_1) and
    (x_2,y_2) are the coordinates of the points

To find the y-intercept of a line (b):

  1. Plug the slope into
    y=mx+b
  2. Plug in one of the points
  3. Solve for b

Solving the Question

We're given a set of coordinates for this linear relation.

First, solve for the slope.


m=(y_2-y_1)/(x_2-x_1)

⇒ Plug in any two points that fall on the line (in this case we used (-2,-7) and (2,1)):


m=(1-(-7))/(2-(-2))\\\\m=(1+7)/(2+2)\\\\m=(8)/(4)\\\\m=2

Therefore, the slope of the line is 2. Plug this into
y=mx+b:


y=2x+b

Now, let's solve for the y-intercept (b)


y=2x+b

Plug in any of the given points:


1=2(2)+b\\1=4+b\\b=-3

Therefore, the y-intercept of the line is 3. Plug this back into
y=2x+b:


y=2x-3

Answer


y=2x-3

User Mark Meyer
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7.7k points

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