Question

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

Answer 1

Answer:

x-intercept: $(-\frac{3}{2},0)$

y-intercept: $(0,\frac{9}{5})$

Explanation:

We have the following Line equation:

$-6x+5y=9$

x-intercpet:

If we want to find the x-intercept (the point where the line crosses with the x-axis), we have to set $y=0$:

$-6x+5(0)=9$

$-6x=9$

$x=-\frac{9}{6}$

Simplifying:

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

Hence, the x-intercept point is $(-\frac{3}{2},0)$

y-intercept:

If we want to find the y-intercept (the point where the line crosses with the y-axis), we have to set $x=0$:

$-6(0)+5y=9$

$5y=9$

$y=\frac{9}{5}$

Hence, the x-intercept point is $(0,\frac{9}{5})$