Questions: Find the x-intercept and y-intercept of the line. -5x + 6y = 9 x-intercept: y-intercept:

Transcript text: Find the $x$-intercept and $y$-intercept of the line. \[ -5 x+6 y=9 \] x-intercept: $\square$ $y$-intercept: $\square$

Solution

Solution Steps

Step 1: Finding the y-intercept

To find the y-intercept, we set $x = 0$ in the equation $-5x + 6y = 9$. This simplifies to $6y = 9$, solving for $y$ gives the y-intercept as $y = \frac{9}{6} = 1.5$.

Step 2: Finding the x-intercept

To find the x-intercept, we set $y = 0$ in the equation $-5x + 6y = 9$. This simplifies to $-5x = 9$, solving for $x$ gives the x-intercept as $x = \frac{9}{-5} = -1.8$.