Question

Accurate answer with explanation.

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

Answer 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.

Answer 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.

$x \: = \frac{18}{5}$

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.

$y \: = \: \frac{ - 18}{9}$

y = –2.

So, the y intercept is (0, –2)