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2y=5x-1

Find the x- intercept and y- intercept without graphing


Sagot :

Answer:

x- intercept = [tex]\frac{1}{5}[/tex] , y- intercept = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

given

2y = 5x - 1

To find the x- intercept, where the graph crosses the x- axis, let y = 0 in the equation and solve for x.

2(0) = 5x - 1

0 = 5x - 1 ( add 1 to both sides )

1 = 5x ( divide both sides by 5 )

[tex]\frac{1}{5}[/tex] = x

The x- intercept is at x = [tex]\frac{1}{5}[/tex]

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To find the y- intercept, where the graph crosses the y- axis, let x = 0 in the equation and solve for y.

2y = 5(0) - 1 = 0 - 1 = - 1 ( divide both sides by 2 )

y = - [tex]\frac{1}{2}[/tex]

The y- intercept is at y = - [tex]\frac{1}{2}[/tex]