Answer: y =
x - 3
Step-by-step explanation:
Slope-intercept form is in the form of y=<em>m</em>x + <em>b</em> where m is the slope and b is the y-intercept.
We are given the slope, so we will plug this in.
y = <em>m</em>x + <em>b</em>
y = (
)x + <em>b</em>
<em />
Now, we will solve for the y-intercept by plugging in the point they give us.
y = (
)x + <em>b</em>
(-2) = (
)(5) + <em>b</em>
-2 = 1.25 + <em>b</em>
-3
= <em>b</em>
<em />
Lastly, we will plug this variable into the equation we wrote above for our final answer.
y =
x - 3
<em>Read more about writing a </em><em>slope-intercept form</em><em> equation for this problem here:</em>
<em>brainly.com/question/13874293</em>
Answer:
y+11=-2/3(x-6)
Step-by-step explanation:
To find the parallel line, we would just plug in the numbers in the point-slope form from what we're given. We have y=-2/3x+12 and (6,-11).
Point-slope form:
y-y1=m(x-x1) → y+11=-2/3(x-6)
m represents the slope, which is -2/3 in this situation.
y1 represents the y coordinate, which is -11 in this situation. However, when we plug in negative numbers in a point-slope form, we would do the opposite of the negative number, which is to make it a positive in point-slope form.
x1 represents the x coordinate, which is 6 in this situation.
Answer:
a=15
Step-by-step explanation:
By pythagoras' theorem
25²=20²+a²
625=400+a² group like terms
a²=625-400
a²=225

therefore a=15
Answer:
6 knots
Step-by-step explanation:
Let the speed be v knots
then time taken to cover 500 M = 500 / v hrs
fuel consumption /hr = 216 + 0.5v^3
let F be the fuel consumption for trip
= [500/v][216 + 0.5v^3]
= 500[216/v + 0.5v^2]
dF/dv = 500[ - 216/v^2 + v]
d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve
so setting dF/dv will give a minima
500[ -216/v^2 + v] = 0
or v = 216/v^2
or v^3 = 216
solving, we get v = [216]^(1/3) = 6 knots