Question

Find both the c-intercept and the y-intercept of the line given by this equation 2.5x+5.2y+4.4=0 round your answers to two decimal places

Answer 1

Given:

There are given the equation:

$2.5x+5.2y+4.4=0$

Explanation:

According to the question:

We need to find the x and y-intercept.

So,

From the equation:

$2.5x+5.2y+4.4=0$

Now,

We need to find the x-intercept first.

So,

To find the x-intercept, we need to put 0 for y and solve the value of x.

So,

$\begin{gathered} 2.5x+5.2y+4.4=0 \\ 2.5x+5.2(0)+4.4=0 \\ 2.5x+4.4=0 \\ 2.5x=-4.4 \\ x=-1.76 \end{gathered}$

And,

To find the y-intercept, we need to put 0 for x and solve for the value of y:

S0,

$\begin{gathered} 2.5x+5.2y+4.4=0 \\ 2.5(0)+5.2y+4.4=0 \\ y=-\frac{4.4}{5.2} \\ y=-0.85 \end{gathered}$

Final answer:

Hence, the x and y-intercept is shown below:

$\begin{gathered} x-intercept:-1.76 \\ y-intercept:-0.85 \end{gathered}$