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Answer:
Slope: -3
Y intercept: (0, 9)
X intercept: (3, 0)
Step-by-step explanation:
In the equation y = mx + b, m is the slope and b is the y intercept.
Since the equation is y = -3x + 9, m is -3 and 9 is the y intercept.
So, the slope is -3 and the y intercept is at (0, 9)
To find the x intercept, plug in 0 as y and solve for x:
y = -3x + 9
0 = -3x + 9
-9 = -3x
3 = x
So, the x intercept is at (3, 0)
Answer:
y = 2x^2 +1
Step-by-step explanation:
This is a parabola so it is in the form
y = a( x-h) ^2 + k
where ( h,k) is the vertex which is at ( 0,1)
y = a (x - 0)^2 + 1
y = ax^2 +1
Pick another point on the graph to determine a
(1,3)
3 = a(1)^2 +1
Subtract 1 from each side
3-1 = a(1)
2 =a
y = 2x^2 +1
It is a good idea to check to see if your answer is reasonable because a. if your answer is reasonable, you have probably done the problem correctly.
