Question

HELP DUE IN 10 MINUTES WILL GIVE BRAINLEST!!

SOLVE FOR X AND Y INTERCEPTS MUST BE IN ORDERED PAIR.

Determine the intercepts of the line.
Do not round your answers.

4x − 1 = 3y +5

Answer 1

$\\ \bull\longmapsto 4x-1=3y+5$

$\\ \bull\longmapsto 4x-3y=6$

X. intercept

$\\ \bull\longmapsto 4x=6+3y\implies x=\dfrac{3y+6}{4}$

Now

• Put 0 on y

$\\ \bull\longmapsto x=\dfrac{3(0)+6}{4}=\dfrac{6}{4}=\dfrac{3}{2}$

Hence

$\\ \bull\longmapsto x-intercept=\left(\dfrac{3}{2},0\right)$

Y intercept:-

$\\ \bull\longmapsto 3y=4x-6\implies y=\dfrac{4x-6}{3}$

Put 0 on x

$\\ \bull\longmapsto y=\dfrac{4(0)-6}{3}=\dfrac{-6}{3}=-2$

Hence.

$\\ \bull\longmapsto y-intercept=(0,-2)$