Question

What are the x and y-intercepts of the line described by the equation?

−6x+3y=18.9
Enter your answers, in decimal form, PLz explain

Answer 1

x - intercept is the point where the line crosses the x - axis.

We know that on x - axis , y - coordinate is zero

Given Line : -6x + 3y = 18.9

For finding x - intercept, We need to substitute y = 0 in the given Equation

⇒ -6x + 3(0) = 18.9

⇒ -6x = 18.9

⇒ x =
`(-18.9)/(6)`

⇒ x = -3.15

⇒ x - intercept = -3.15

y - intercept is the point where the line crosses the y - axis.

We know that on y - axis , x - coordinate is zero

For finding y - intercept, We need to substitute x = 0 in the given Equation

⇒ -6(0) + 3y = 18.9

⇒ 3y = 18.9

⇒ y =
`(18.9)/(3)`

⇒ y = 6.3

⇒ y - intercept = 6.3