Question

The $x$ and $y$ intercepts of the following line is:

$y=\frac{2}{3}x-4$

• A. $a=6,b=4$
• B. $a=\frac{1}{6},b=\frac{1}{4}$
• C. $a=\frac{1}{6},b=-\frac{1}{6}$
• D. $a=6,b=-4$

Answer 1

Answer: (D)

$a=6,b=-4$

The given equation of line: $y=\frac{2}{3}x-4$
$x-$ intercept of the line is when $y=0$ and $y-$ intercept of line is when $x=0$.
When $y=0$, $x=6$
When $x=0$, $y=-4$
Thus, $x-$ intercept = $6$ and $y-$ intercept = $-4$