First, you need to use the points to come up with a m (slope). To do this you must use the equation m= y2-y1/x2-x1. label the x in one pair of coordinates x1 and the y, y1. Then label the other x in the other pair of coordinates x2 and the y, y2. use the equation and figure the slope. Next, put the easiest coordinates into point-slope form. The equation you are to use is... y-y1=m(x-x1). Input the values and then distribute the m inside the parenthesis. Then you should be able to do the rest. The final product should be in slope-intercept form.
Answer:
the bottom right
Step-by-step explanation:
Answer:
Step-by-step explanation:
Our function is : 3x²-3x-1
- 3x²-3x+2=2
- 3x²-3x-1+3=2
- 3x²-3x-1= -1
- the number that gives us -1 is 1 (from the graph)
so x is 1
- 3x²-3x-1= x+1 ⇒3x²-4x-2 = 0
- Δ(the dicriminant)= (-4)²-4*3*(-2)= 16+24 =40
- two solution x and y
- x= (4-√40)/6 and y= (4+√40)/6
- x= -0.38 and y = 1.7
- so the estimations are -0.38 and 1.7
Answer:
- 11 or - 15
Step-by-step explanation:
Factorise
x² - 13x + 42
Consider the factors of the constant term (+ 42) which sum to give the coefficient of the x- term (- 13)
The factors are - 6 and - 7, since
- 6 × - 7 = + 42 and - 6 - 7 = - 13, thus
x² - 13x + 42 = (x - 6)(x - 7)
compare to (x + A)(x + B)
A = - 6, B = - 7
thus 3A - B = 3(- 6) - (- 7) = - 18 + 7 = - 11
The factors may also be expressed as (x - 7)(x - 6)
with A = - 7 and B = - 6, then
3A - B = 3(- 7) - (- 6) = - 21 + 6 = - 15
Answer:
Point slope: y+4=4(x-3)
Slope-intercept: y=4x-16
Step-by-step explanation:
1. Use the slope formula to find the slope.
y2-y1/x2-x1
8--4/6-3 = 12/3
Slope is 4
2. Use the slope and one of the coordinates to put the equation in point-slope form.
Point slope form: y-y1=m(x-x1)
y+4=4(x-3)
3. Distribute and simplify to put it in slope-intercept form.
y+4=4x-12
y=4x-16