Question

ready
topic: graphing lines using the intercepts
find the x - intercept and the y - intercept. then graph the equation.

1. 3x + 2y = 12

a. x - intercept:
b. y - intercept:

1. 8x - 12y = - 24

a. x - intercept:
b. y - intercept:

1. 3x - 7y = 21

a. x - intercept:
b. y - intercept:

1. 5x - 10y = 20

a. x - intercept:
b. y - intercept:

1. 2y = 6x - 18

a. x - intercept:
b. y - intercept:

1. y = - 6x + 6

a. x - intercept:
b. y - intercept:

Explanation:

1. For the equation $3x + 2y=12$

Step1: Find x - intercept

Set $y = 0$. Then $3x=12$, so $x = 4$.

Step2: Find y - intercept

Set $x = 0$. Then $2y=12$, so $y = 6$.

Step1: Find x - intercept

Set $y = 0$. Then $8x=-24$, so $x=-3$.

Step2: Find y - intercept

Set $x = 0$. Then $-12y=-24$, so $y = 2$.

Step1: Find x - intercept

Set $y = 0$. Then $3x=21$, so $x = 7$.

Step2: Find y - intercept

Set $x = 0$. Then $-7y=21$, so $y=-3$.

Answer:

a. $x$-intercept: $4$
b. $y$-intercept: $6$

2. For the equation $8x-12y=-24$