Y=-1/4x+8
First find the slope
Slope= y-y1/x-x1
So (6-7)/(8-4) = -1/4
Now take that slope and use one of the points and plug them into the point slope formula to solve for your y intercept.
Point slope formula: y=mx+b
So 7=-1/4(4)+b OR 6=-1/4(8)+b
Either way you’ll get b=8!
Put em together and you get: y=-1/4x+8
Ps you can double check your answer by plugging in one or both of the points into your equation to see if it works :)
Answer:
Step-by-step explanation:
c = 60w
390 = 60w
w = 6.5 kilograms
ANSWER
The value of the expression is
EXPLANATION
Method 1: Rewrite as product of
The expression given to us is,
We use the fact that
to simplify the above expression.
This implies,
We substitute to obtain,
Method 2: Use indices to solve.
This implies that,
Answer:
Airplane #1 equation: y=5/13x+42/13
Airplane #2 equation: y=1/3x+14
Step-by-step explanation:
So to find the slope of each airplane, you use the formula y2-y1/x2-x1. That means, for airplane#1 the equation will be 9-4/15-2. Simplify this and get 5/13. Then, for airplane#2, the equation will be 12-9/6-15. Simplify this and get 3/-9 and divide each side by 3 to get 1/-3 or -1/3. Next, use point slope formula to find the system of linear equations. Point slope formula is y-y1=m(x-x1). M is the slope. Use any point from the line. In this case, I will use (2,4). Tat means the first airplane's equation would be y-4=5/13(x-2). Then y-4=5/13x-10/13. Then, convert four into a fraction with a denominator of 13. This means, you have to multiply 4 by 13 to get 52/13. Add 52/13 to -10/13 to get 42/13. That means the first equation will be y=5/13x+42/13. The second equation point will be (6,12). This means the equation will be y-12=-1/3(x-6). Simplify this to get y-12=-1/3x+2. Simplify this to get y=1/3x+14. Therefore, Airplane#1 equation will be y=5/13x+42/13 and airplane #2 equation will be y=1/3x+14.
Hope this helps