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bgunn12345678
Think you accidentally typed -5x + 2y = 10 twice.

Anyhow, let's rearrange the equation to match the equation for a line which is y = mx + b:

-5x + 2y = 10

2y = 5x + 10

y = 5/2x + 5

Now, the slope in a line is the m value. So 5/2 is the slope.

y = 5/2x + 5
        ↑       ↑   
    slope   y-intercept
Lanuel

The slope of the line represented by the given equation is: A.  [tex]\frac{5}{2}[/tex]

Given the following equation:

  • [tex]-5x+2y=10[/tex]    ....equation 1

To find t:

The standard form of an equation of line is given by the following formula;

[tex]y = mx + b[/tex]     .....equation 2.

Where:

  • x and y are the points.
  • m is the slope.
  • b is the intercept.

From equation 1:

[tex]-5x+2y=10\\\\2y = 5x + 10\\\\y = \frac{5}{2}x + 10[/tex]

Comparing eqn 1 and eqn 2:

Slope = [tex]\frac{5}{2}[/tex]

Read more: https://brainly.com/question/18123312

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