MATHEMATICS MIDDLE SCHOOL

Choose the equation that represents a line that passes through points (−6, 4) and (2, 0). x + 2y = 2 2x − y = −16 x + 2y = −8 2x + y = 4

Answers

Answer 1
Answer:

Answer:

x + 2y = 2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

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

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We have the points (-6, 4) and (2, 0).

Substitute:

m=(0-4)/(2-(-6))=(-4)/(8)=-(1)/(2)

Put the value of the slope and coordinates of the point (2, 0) to the equation of a line:

0=-(1)/(2)(2)+b

0=-1+b          add 1 to both sides

1=b\to b=1

The equation of a line in the slope-intercept form:

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

Convert to the standard form Ax+By=C

y=-(1)/(2)x+1           multiply both sides by 2

2y=-x+2             add x to both sides

x+2y=2
Answer 2
Answer:

Answer:

Option 1.

Step-by-step explanation:

It is given that the line passes through the points (-6,4) and (2,0).

If a line passes through two points, then the equation of line is

y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)

Using the above formula the equation of line is

y-(4)=(0-4)/(2-(-6))(x-(-6))

y-4=(-4)/(8)(x+6)

y-4=(-1)/(2)(x+6)

Muliply both sides by 2.

2y-8=-x-6

x+2y=-6+8

x+2y=2

Therefore, the correct option is 1.

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Learn more on volume of composite figure here: brainly.com/question/16703501

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It's simple!


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Answers

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