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Does the equation represent a line with the slope
M=5, contains the point (3,8) select yes or no for each equation
A. 5x-y=7 yes or no
B. 3x+8y=5 yes or no
C. 10x-2y=15 yes or no

Respuesta :

absor201

Option A: 5x-y=7 represents the equation with given slope and line.

Step-by-step explanation:

First of all we have to find the equation of given line to compare with the options

So,

m = 5

Point = (3,8)

Slope-intercept form is:

y=mx+b

Putting the value of slope

[tex]y = 5x+b[/tex]

We will put the point in the equation to find the y-intercept

[tex]8 = 5(3)+b\\8 = 15 +b\\8-15 = b\\b = -7[/tex]

So the final equation will be:

[tex]y=5x-7\\Or\\5x - y = 7[/tex]

If we multiply the whole equation by 2: 10x-2y = 14

Hence,

Option A: 5x-y=7 represents the equation with given slope and line.

Keywords: Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/11286417
  • brainly.com/question/11566221

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