Answer:
y = 1/3x -2
Step-by-step explanation:
the equation for slope intercept form is y= mx + b.
m is the slope and b is where the line crosses the y-axis which is called the y-intercept.
to find the y-intercept plug in a coordinate on the line (6,0)
0 = 1/3(6) + b
then solve for b by first multiplying 1/3 by 6
0 = 2 + b
subtract 2 from both sides
-2 = b
and then you can plug b into the equation
y = 1/3x - 2
<h3>
Answer: 5</h3>
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Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
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Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
Answer:
Step-by-step explanation:
y=e^x will go through (0,1). Since it goes through (0,4), then the function moves up 3 units. So we need to add 3 after e^x
Answer:
X=4
Step-by-step explanation:
First you add like terms, in this case 5x and x. Then you have 6x-1=23. You then add 1 from both sides so you end up with 6x=24. This then results in X=4
X^2 - 14x + 42 = 0
x^2 - 14x = -42
x^2 - 14x + 49 = 49 - 42
(x - 7)^2 = 7
x - 7 = (+-) sqrt 7
x = 7 (+-) sqrt 7
solutions are : x = 7 + sqrt 7 and x = 7 - sqrt 7
