Accurate answer with explanation.

determine the intercepts of the line.
-5x+9y = -18
x-intercept:
y-i

2 thoughts on “Accurate answer with explanation.<br /><br />determine the intercepts of the line. <br />-5x+9y = -18 <br />x-intercept: <br />y-i”

1. Answer:

   x intercept : 3.6

   y intercept : -2

   Step-by-step explanation:

   The line is -5x +9y = -18

   x intercept is at the point , the line cuts the x axis.

   ie, at that point, y axis’ value is zero.

   To find the x intercept, substitute y =0.

   we get -5x + 9(0) = -18

   5x = 18

   then, x = 18/5 = 3.6

   ie, the x intercept is 3.6, in the positive x axis.

   Similarly,

   y intercept is at the point , the line cuts the y axis.

   ie, at that point, x axis’ value is zero.

   To find the y intercept, substitute x = 0.

   we get -5(0) + 9y= -18

   9y = -18

   then, y = -18/9 = -2

   ie, the y intercept is -2, in the negative y axis.

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2. x-intersept : (3.6, 0).

   y-intersept : (0, –2).

   Given : –5x + 9y = –18

   To find the x-intercept, let’s substitute y = 0 into the equation and solve this.

   –5x + 9(0) = –18.

   5x = 18.

   [tex] x \: = \frac{18}{5} [/tex]

   x = 3.6.

   So, the x-intercept is (3.6, 0)

   To find the y-intercept, let’s substitute x = 0 into the equation and solve this.

   –5(0) + 9y = –18.

   9y = –18.

   [tex]y \: = \: \frac{ – 18}{9} [/tex]

   y = –2.

   So, the y intercept is (0, –2)

   Reply