I like point point form because it doesn't fail in the no slope case. The line through (a,b) and (c,d) is
(c-a)(y-b) = (d-b)(x-a)
Point slope form is almost the same,
1. (a,b)=(4,0),(c,d)=(-2,1)
y - 0 = (1 - 0)/(-2 - 4) (x - 4)
Answer: y = (-1/6)(x-4)
2.
y - -2 = (3 - -2)/(5 - -3) (x - -3)
Answer: y + 2 = (5/8) (x+3)
3.
y - 1 = (4 - 1)/(3 - -5) (x - -5)
Answer: y - 1 = (3/8) (x+5)
Answer: y=-1x+5
Step-by-step explanation:
1. Use slope-intercept formula (y = mx + b) to find the slope which is represented by the variable 'b'.
m = ∆y / ∆x
m = -1 / 1
m = -1
y= -1x + b
2. Use any cooresponding x and y values to substitute into the formula. Ex: (x,y) → (1,4)
y = mx + b
4 = -1(1) + b
4 = -1 + b
5 = b
3. Plug in the values found into the formula.
y = -1x + 5
Answer:
4 batches
Step-by-step explanation:
1 batch requires 3 cups apples and 1 cup blackberries
1 batch has (3+1) = 4 cups total of apples and blackberries
We use 16 cups of apples and blackberries
16/4 = 4
So we are multiplying by 4
That means 1batch*4 = 4 batches
If you observe the two given equations, the left hand side of both equation is the same and is equal to y.
Since the left hand side of two equations is the same, we can conclude that the right hand side of two equations must also be the same.
So, setting them right hand sides of both equations equal to each other and solving for x, we can find the solution to the simultaneous equations.
Therefore, the correct answer is option B
Answer:
D. 8
Step-by-step explanation:
The given diagram is a trapezium. We know that the consective sides of a trapezium are equal. so,
Putting the values of consecutive sides equal:
So, KI will be equal to LI
3x-7 = x+3
Putting the value of x in the equation of KI
3x-7
=3(5)-7
=15-7
=8
Hence, the correct answer is D. 8 ..
