Question

The x- and y-intercepts of the graph of the equation, 3x − 4y = 12 are,

a) x-intercept is 3, y-intercept is -4

b) x-intercept is -6, y-intercept is 8

c) x-intercept is 8, y-intercept is -6

d) x-intercept is 4, y-intercept is -3

Answer 1

substitute y= 0 to find x- intercept.

when y=0

$\implies 3x=12\\ \implies x=\frac{12}{3} \\ \implies x=4$

now,

substitute x= 0 for finding y-intercept

when,

x=0

$\implies -4y=12 \\ \implies y= \frac{12}{-4} \\ \implies y= -3$

hence,

x-intercept = 4, y-intercept = -3 (Answer)

Answer 2

Answer:

to find x intercept and y intercept, put x = 0 and to find x intercept, put y = 0 and solve.

given equation

3x - 4y = 12

put x = 0

=> 3×0 - 4y = 12

=> - 4y = 12

=> y = 12/-4 = -3 y - intercept

put y = 0

=> 3x - 4×0 = 12

=> x = 12/3 = 4 x - intercept

option d