Answer:
y = 3/5x - 17/5
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
First, plug in these values of the two given points.
(-4 - (-1)) / (-1 - 4)
Simplify within the parentheses.
(-4 + 1) / (-1 - 4)
(-3) / (-5)
3/5
This is your slope. Plug this into a standard slope-intercept equation: y = mx + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = 3/5(-1) + b
Multiply.
-4 = -3/5 + b
Add 3/5 to both sides. -- To add it easier, <em>convert 4 to a have a denominator of 5</em>.
-20/5 = -3/5 + b
-20/5 + 3/5 = b
-17/5 = b
Now, plug this into your standard equation.
y = 3/5x - 17/5
Check this equation by plugging in the <em>other point you did not use</em> (4, -1)
-1 = 3/5(4) - 17/5
-1 = 12/5 - 17/5
-1 = -5/5
-1 = -1
Your answer is correct!
Hope this helps!
Answer:
-2x^2-5x-15
Step-by-step explanation:
-4x^2-5(x+3)+x^2 Distribute -5 to x and 3
-4x^2-5x-15+x^2 add x^2 to -4x bc they are like terms
-2x^2-5x-15
Answer:
203 miles
Step-by-step explanation: hope this helps
Answer:
-x-3, 7x-3, -15
Step-by-step explanation:
For first 2 just add/subtract their equations. For the last one (r.s)(-1) is the same as r(s(-1)) so s(-1)=4(-1)=-4 and r(-4)=3(-4)-3=-12-3=-15
Answer:
(a)

(b)
The distance traveled in 30 seconds is 45 miles
(c)
It takes 85 seconds to go 12.75 miles
Step-by-step explanation:
we are given
An airplane is flying from New York City to Los Angeles
d is the distance traveled in miles
t is time in second
we have equation as

(a)
we have to find speed
we can see that our distance equation is in linear form
For finding speed, we can compare our equation with equation of line
and slope of the line will be speed
because slope is the rate of change

where m is slope
so, we can compare
and we get

so,

(b)
we can plug t=30 and find d

miles
so, The distance traveled in 30 seconds is 45 miles
(c)
we can set d=12.75 and solve for t


So,
It takes 85 seconds to go 12.75 miles