Question

What are the x and y-intercepts of the line described by this equation? 3x-9y=10.8

Answer 1

Answer:  The required x-intercept is (3.6, 0) and y-intercept is (0, -1.2).

Step-by-step explanation:  We are given to find the x-intercept and y-intercept of the line described by the following equation :

$3x-9y=10.8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

x-intercept is a point on the line where the line crosses the x-axis and y-intercept is a point where line crosses the y-axis.

On x-axis, y = 0 and on y-axis, x = 0.

If y = 0, then from equation (i), we get

$3x-0=10.8\\\\\Rightarrow 3x=10.8\\\\\Rightarrow x=\dfrac{10.8}{3}\\\\\Rightarrow x=3.6.$

And, if x = 0, then from equation (i), we get

$0-9y=10.8\\\\\Rightarrow 9y=-10.8\\\\\Rightarrow y=-\dfrac{10.8}{9}\\\\\Rightarrow y=-1.2.$

Thus, the required x-intercept is (3.6, 0) and y-intercept is (0, -1.2).

Answer 2

X-intercept: (3.6,0)
y-intercept: (0,1.2)