Question

Please help!! answer these questions !

Determine the x & y-intercept algebraically: y=−3x+6

Determine the x & y-intercept algebraically: 3x+8y=9

Determine the x & y-intercept algebraically: 2x=5−3y

Answer 1

Answer: y=−3x+6: x=2 ==> (2, 0) ==> x-int

y=6 ==> (0, 6) ==> y-int

3x+8y=9: x=3 ==> (3, 0) ==> x-int

y=9/8 ==> (0, 9/8) ==> y-int

2x=5−3y: x=5/2 ==> (5/2, 0) ==> x-int

y=5/3 ==> (0, 5/3) ==> y-int

Explanation:

y=−3x+6

0=−3x+6

-3x=-6

x=2 ==> (2, 0) ==> x-int

y=−3(0)+6

y=6 ==> (0, 6) ==> y-int

3x+8y=9

3x+8(0)=9

3x=9

x=3 ==> (3, 0) ==> x-int

3(0)+8y=9

8y=9

y=9/8 ==> (0, 9/8) ==> y-int

2x=5−3y

2x=5−3(0)

2x=5

x=5/2 ==> (5/2, 0) ==> x-int

2(0)=5-3y

0=5-3y

3y=5

y=5/3 ==> (0, 5/3) ==> y-int