Questions: Find the y-intercept and x-intercept of the line. 2x-5y=9 y-intercept: x-intercept:

Transcript text: Find the $y$-intercept and $x$-intercept of the line. \[ 2 x-5 y=9 \] $y$-intercept: $\square$ $x$-intercept: $\square$

Solution

Solution Steps

Step 1: Finding the y-intercept

To find the y-intercept, we set $x = 0$ in the equation $2x - 5y = 9$. This simplifies to $-5y = 9$, solving for $y$ gives the y-intercept as $y = \frac{9}{-5} = -1.8$.

Step 2: Finding the x-intercept

To find the x-intercept, we set $y = 0$ in the equation $2x - 5y = 9$. This simplifies to $2x = 9$, solving for $x$ gives the x-intercept as $x = \frac{9}{2} = 4.5$.