Answer:
roughly 85.6
Step-by-step explanation:
We knownthe equation of a line is y = mx + b. where m is slope and b is y intercept.
the point slope equation of a line is y - y1 = m (x - x1)
plug in x1 and y1 and m
y- (5) = (3)(x - (-1))
y - 5 = 3x + 3
y = 3x + 8
Let f(x)= y = x3 - 6x2 + 11x - 6
X intercept means a point on the graph which intercepts the x axis
And Y-intercept mean a point on the graph which intercepts the y axis
Meaning at the x intercept the component of y is zero because there is no y on the x axis
And at the y intercept the x component of the coordinate is zero because on the y axis there is no x value
So in finding the y intercept of the graph wherever u see x place zero there (ie x= 0 on the y axis)
So with x = 0
y = (0)3- 6(0)2 + 11(0) - 6
y = -6
Therefore the y intercept is (0,-6) in coordinate form or -6
X-intercept
y = x3 - 6x2 + 11x - 6
After factorization and simplification
y = (x-1)(x-2)(x-3)
On the x axis y= 0
0= (x-1)(x-2)(x-3)
Either x-1=0
x=1
(1,0)
Or x-2=0
x=2
(2,0)
Or x-3=0
x=3 (3,0)
Therefore the x intercepts are 1,2 and 3
And they are expressed in coordinate form as (1,0) ,(2,0) and
(3,0)
Its 5, I believe you get this by just looking at the largest exponent
It’s 3/5 since it should be adjacent/hypotenuse and 4 is the opposite
