Question

Find the X intercept and the Y intercept of the graph of the equation. 9/8x+8y=18

Answer 1

Answer:

$\large\boxed{x-intercept=16\to(16,\ 0)}\\\boxed{y-intercept=\dfrac{9}{4}\to\left(0,\ \dfrac{9}{4}\right)}$

Step-by-step explanation:

$\dfrac{9}{8}x+8y=18\\\\x-intercept\ \text{is for}\ y=0:\\\\\dfrac{9}{8}x+8(0)=18\\\\\dfrac{9}{8}x+0=18\\\\\dfrac{9}{8}x=18\qquad\text{multiply both sides by}\ \dfrac{8}{9}\\\\\dfrac{8\!\!\!\!\diagup^1}{9\!\!\!\!\diagup_1}\cdot\dfrac{9\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}x=\dfrac{8}{9\!\!\!\!\diagup_1}\cdot18\!\!\!\!\!\diagup^2\\\\x=16\\\\y-intercept\ \text{is for}\ x=0:\\\\\dfrac{9}{8}(0)+8y=18\\\\0+8y=18\\\\8y=18\qquad\text{divide both sides by 8}\\\\y=\dfrac{18}{8}\\\\y=\dfrac{9}{4}$

Answer 2

Answer:

(16, 0) and (0, $\frac{9}{4}$)

Step-by-step explanation:

Given

$\frac{9}{8}$ x + 8y = 18

Multiply through by 8 to eliminate the fraction

9x + 64y = 144

When the graph crosses the x- axis the y- coordinate of the point is zero.

Let y = 0 in the equation and solve for x

9x +0 = 144

9x = 144 ( divide both sides by 9 )

x = 16 ← x - intercept ⇒ (16, 0 )

When the graph crosses the y- axis the x- coordinate of the point is zero

let x = 0 in the equation and solve for y

0 + 64y = 144

64y = 144 ( divide both sides by 64 )

y = $\frac{144}{64}$ = $\frac{9}{4}$ ← y- intercept ⇒ (0, $\frac{9}{4}$ )