Verified Answer :

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
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    slope   y-intercept

Lanuel

The slope of the line represented by the given equation is: A.  \(\frac{5}{2}\)

Given the following equation:

  • \(-5x+2y=10\)    ....equation 1

To find t:

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

\(y = mx + b\)     .....equation 2.

Where:

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

From equation 1:

\(-5x+2y=10\\\\2y = 5x + 10\\\\y = \frac{5}{2}x + 10\)

Comparing eqn 1 and eqn 2:

Slope = \(\frac{5}{2}\)

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