Question

find the x - intercept and y - intercept of the line.
6x−7y = 10
x - intercept:
y - intercept:

Explanation:

Step1: Find x - intercept

Set $y = 0$ in the equation $6x-7y = 10$. Then we have $6x-7\times0=10$, which simplifies to $6x=10$. Solving for $x$, we get $x=\frac{10}{6}=\frac{5}{3}$.

Step2: Find y - intercept

Set $x = 0$ in the equation $6x - 7y=10$. Then we have $6\times0-7y = 10$, which simplifies to $-7y=10$. Solving for $y$, we get $y=-\frac{10}{7}$.

Answer:

$x$-intercept: $\frac{5}{3}$
$y$-intercept: $-\frac{10}{7}$