Question

(a) part a. find the x-intercept of the equation $2x + 5y = 15$
a $(3, 0)$
b $(7.5, 0)$
c $(2, 0)$
d $(8, 0)$
(b) part b. find the y-intercept of the equation $2x + 5y = 15$
a $(0, 3)$
b $(0, 5)$
c $(0, 7.5)$
d $left(0, \frac{5}{2}\
ight)$

Explanation:

Part A:

Step1: Set $y=0$ for x-intercept

Substitute $y=0$ into $2x + 5y = 15$:
$2x + 5(0) = 15$

Step2: Solve for $x$

$2x = 15$
$x = \frac{15}{2} = 7.5$

Part B:

Step1: Set $x=0$ for y-intercept

Substitute $x=0$ into $2x + 5y = 15$:
$2(0) + 5y = 15$

Step2: Solve for $y$

$5y = 15$
$y = \frac{15}{5} = 3$

Answer:

(a) B. (7.5, 0)
(b) A. (0, 3)