Questions: Find the x-intercept and y-intercept of the line. 7x-6y=9 x-intercept: y-intercept:

Transcript text: Find the $x$-intercept and $y$-intercept of the line. \[ 7 x-6 y=9 \] $x$-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 $7x - 6y = 9$. 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 $7x - 6y = 9$. This simplifies to $7x = 9$, solving for $x$ gives the x-intercept as $x = \frac{9}{7} = 1.29$.