Answer
a) The x-intercept is $12$
The y-intercept is $-10$
b) The x-intercept is $4$
The y-intercept is $\frac{3}{2}$
Work Step by Step
a) $5x-6y=60$
To find the x-intercept, substitute $0$ for $y$. Solve for $x$.
$5x-6(0)=60$
$5x=60$
$x=12$
To find the y-intercept, substitute $0$ for $x$. Solve for $y$.
$5(0)-6y=60$
$-6y=60$
$y=-10$
b) $3x+8y=12$
To find the x-intercept, substitute $0$ for $y$. Solve for $x$.
$3x+8(0)=12$
$3x=12$
$x=4$
To find the y-intercept, substitute $0$ for $x$. Solve for $y$.
$3(0)+8y=12$
$8y=12$
$y=\frac{3}{2}$