Question

X intercept of the line parallel to 4x+7y=9 andpassing through (2,3) is​

Answer 1

Equation : 4x + 7y = 9

Slope = -a/b = -4/7

The equation of the line is :

$\implies\bold{y-3=\frac{-4}{7}(x-2)}$

$\implies\bold{7(y-3)=-4(x-2)}$

$\implies\bold{7y-21=8-4x}$

$\implies\bold{4x+7y=29}$

$\boxed{\bold{\therefore{The\:equation\:of\:the\:line\:is\:\:\:4x+7y-29=0}}}}$

Answer 2

Answer:

y = (- 4/7)x + 29/7

Step-by-step explanation:

($x_{1}$, $y_{1}$) = (2, 3)

y - $y_{1}$ = m(x - $x_{1}$)

y - 3 = (- 4/7)(x - 2)

y = (- 4/7)x + 8/7 + 3

y = (- 4/7)x + 29/7