What is the x-intercept of the line with this equation -2x + 12y = 18?

Solution:

The equation of the line is -2x + 12y = 18

The x intercept is determined by putting y = 0

⇒ -2x + 12y = 18

⇒ -2x + 12(0) = 18

⇒ -2x = 18

⇒ x = 18/-2

⇒ x = -9

The x intercept is x = -9

Consider another equation 4x + 5y = 10.

To determine its x intercept we put y = 0 and therefore

⇒ 4x + 5(0) = 10

⇒ 4x = 10

⇒ x = 10/4

⇒ x = 5/2 is the x - intercept

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What is the x-intercept of the line with this equation -2x + 12y = 18?

Summary:

The x-intercept of the line with the equation -2x + 12y = 18 is -9