# Consider the graph of the linear equation 2x-5y=10.

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## Question:

Consider the graph of the linear equation 2x-5y=10.

The x-intercept is .
The y-intercept is .. .
The slope is…

Slope-intercept form:

The equation of line is given by:

….[1]

where,

m is the slope and b is the y-intercept

Given the linear equation:

…..[2]

Subtract 2x from both sides we have;

Divide by -5 to both sides we have;

On comparing with [1] we have;

Slope(m) =

y-intercept(b) = -2

To find x-intercept:

Substitute y = 0  in [2] and solve for x:

⇒2x = 10

Divide both sides by 2 we have;

x = 5

x-intercept = 5

Therefore:

The x-intercept is 5

The y-intercept is -2

The slope is

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