How many solutions does the system have, and why?
1 answer:
Answer:
C. there are no solutions because the slopes are the same and the y-intercepts are different.
step-by-step explanation:
y = 2/3x - 6
3y - 2x = 9
y = 0
3(0) - 2x = 9
-2x = 9
/-2 /-2
x = -9/2 = -4.5
x = 0
3y - 2(0) = 9
3y = 9
/3 /3
y = 3
(-4.5, 3)
slope 2/3
y-intercept (0, 3)
there are no solutions because the slopes are the same and the y-intercepts are different
C. there are no solutions because the slopes are the same and the y-intercepts are different.
step-by-step explanation:
y = 2/3x - 6
3y - 2x = 9
y = 0
3(0) - 2x = 9
-2x = 9
/-2 /-2
x = -9/2 = -4.5
x = 0
3y - 2(0) = 9
3y = 9
/3 /3
y = 3
(-4.5, 3)
slope 2/3
y-intercept (0, 3)
there are no solutions because the slopes are the same and the y-intercepts are different
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Step-by-step explanation:
Answer:
The slope = 8/3
Step-by-step explanation:
Let's find the slope between your two points.
(−3,−4);(0,4)
(x1,y1) = (−3,−4)
(x2,y2) = (0,4)
Use the slope formula:
m= y2−y1 / x2−x1
= 4 − −4 / 0 − −3
= 8/3
Answer:
m = 8/3
Graph:
hope this helps and is right :)
