The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept, x and y are coordinates of a point. You have the slope in both and a point, so it's your job to fill those into the line equation and solve them for b, like this:
y = mx + b for the first point: -1 = 2(2) + b and - 1 = 4 + b and 5 = b. Now fill that b value back in with the slope to get that the line is y = 2x + 5.
Now for the second point:
and
-3= 1 + b and b = -4. Now fill that b value back in with the slope to get the line
A) f(-4)-f(-5)=-3- (-11)=-3+11=8
f(-2)-f(-3)=13-5= 8
f(0)-f(-1)=29-21= 8
f(2)-f(1)=45-37=8
f(3)-f(2)=53-45=8
all are 8
b) f(-3)-f(-5)= 5- (-11)= 5+11=16
f(-2)-f(-4)=13-(-3)=13+3=16
f(1)- f(-1)=37-21= 16
f(3)-f(1)=53-37=16
c) f(-2)-f(-5)=13-(-11)=13+11=24
f(-1)-f(-4)=21-(-3)=21+3=24
f(0)-f(-3)=29-5=24
f(1)-f(-2)=37-13=24
f(2)-f(-1)=45-21=24
d) The differences have the same ratio.
cause is a linear function f(x)=ax+b
f(x+3)-f(x)=a(x+3)+b-ax-b=ax+3a-ax=3a
f(x+2)-f(x)=2a
f(x+1)-f(x)=a
so it is the same for every x
Answer:
The square if the other sides are added to get the hypotenuse
Answer: I think the answer is B
Step-By-Step Explination:
First you find out what x is by doing 42 multiplying it by 0.1 witch equals 4.2 gallons per mile
Next you figure out what y is by doing 4.2y (witch is 4.2 times y)
Well, I can’t see your choices, but hopefully one looks something like this:
1.25x = 11.25
Or
x = 11.25/1.25
Feel free to put more information in the comments, and I will help.