Question

13- Graph the equation and identify the x- and y-intercepts.3x=2y

Answer 1

Given:

Equation is:

$3x=2y$

Find-:

Graph the equation and identify the x and y-intercept

Explanation-:

Equation are

$\begin{gathered} 2y=3x \\ \\ y=\frac{3}{2}x \end{gathered}$

For x-intercept value of y is zero so,

$\begin{gathered} x-intercept \\ \text{ At }y\rightarrow0 \\ \\ y=\frac{3}{2}x \\ \\ 0=\frac{3}{2}x \\ \\ x=0 \end{gathered}$

The x-intercept is 0.

For y-intercept at x = 0 so,

$\begin{gathered} y-\text{ Intercept} \\ \\ x\rightarrow0 \\ \\ y=\frac{3}{2}x \\ \\ y=\frac{3}{2}(0) \\ \\ y=0 \end{gathered}$

So, the y-intercept is 0.

Graph of function is: