what are the x and y intercept of this ?
1.) 4x+y=8
2.) 2x-6y=18
3.) 3x-7y=21
4.) 4x-6y=12
1.) 4x+y=8
2.) 2x-6y=18
3.) 3x-7y=21
4.) 4x-6y=12
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1.) 4x + y = 8
X-Intercept: Set y = 0, then solve for x:
4x + 0 = 8
4x = 8
x = 2
So, the x-intercept is 2,0.
Y-Intercept: Set x = 0, then solve for y:
4(0) + y = 8
0 + y = 8
y = 8
So, the y-intercept is 0,8.
2.) 2x - 6y = 18
X-Intercept: Set y = 0, then solve for x:
2x - 6(0) = 18
2x - 0 = 18
2x = 18
x = 9
So, the x-intercept is 9,0.
Y-Intercept: Set x = 0, then solve for y:
2(0) - 6y = 18
0 - 6y = 18
-6y = 18
y = -3
So, the y-intercept is 0,-3.
3.) 3x - 7y = 21
X-Intercept: Set y = 0, then solve for x:
3x - 7(0) = 21
3x - 0 = 21
3x = 21
x = 7
So, the x-intercept is 7,0.
Y-Intercept: Set x = 0, then solve for y:
3(0) - 7y = 21
0 - 7y = 21
-7y = 21
y = -3
So, the y-intercept is 0,-3.
4.) 4x - 6y = 12
X-Intercept: Set y = 0, then solve for x:
4x - 6(0) = 12
4x - 0 = 12
4x = 12
x = 3
So, the x-intercept is 3,0.
Y-Intercept: Set x = 0, then solve for y:
4(0) - 6y = 12
0 - 6y = 12
-6y = 12
y = -2
So, the y-intercept is 0,-2.
Hope this helps!