Answer #1- f(x)=0x-4
Answer #2-f(x)=2/3x+4
Answer #3-Undefined
Answer #4-f(x)= -1/5x+2
Function notation means that instead of y=mx+b, your equation will be f(x)=mx+b. F(x) and y are the same thing, and are interchangeable. However, when asking for the equation in function notation, f(x)=mx+b is how the equation is to be written.
F(x)=y
M=slope
X=variable
B=y-intercept
Let’s start with the first image. To find slope, you always use for formula rise/run. Seeing as there is no movement in the graph (values are neither increasing or decreasing), the slope is 0. Let’s add that into the equation.
f(x)=0x+b
Now let’s find b. B is where the line intersects on the y-axis on the graph. Here it is-4. Let’s add that in now.
f(x)=0x-4
Let’s move onto the second image. We see that the line intersects the y-axis at 4. Let’s add that in.
f(x)=mx+4
Now let’s find the slope. We’ll look at points (-6,0) and (0,4) to find the difference going up/down over left/right. This would be 2/3. Let’s add that into the equation
f(x)=2/3x+4
Lets move onto the third image. Much like image 1, there the values here are neither increasing or decreasing. But, this line is vertical, so the slope is undefined. That would be the answer for #3
Let’s finally do number 4. The line intersects at 2, so let’s fill that in for b now.
f(x)=mx+2
The values in the graph are negative, so m will be negative as well. Let’s add that in.
f(x)=-mx+2
Let’s find slope now. Looking at points (0,2) and (10,0), I see that the difference in rise/run is 2/10. This simplifies to 1/5. Let’s add that in
f(x)= -1/5x+2
These are your answers! Hope this helps comment below for more questions :)
So the first step is to subtract 4.00 from 20.50. Once we do that, we get 16.50. The next step is to divide 16.50 by 2.75, to find out how many miles (after the 1st mile) Sarah's ride was. 16.50/2.75 = 6. So 6 + 1 = 7. The total mileage length to get to the movies was 7 miles.
Answer:
y=5x+8
Step-by-step explanation:
You need have the slope-intercept formula:
y=mx+b
m=slope
b=y-intercept
You replace the m and b with the slope and y-intercept which is 8
y=5x+8
Hope this helps!
Answer:
the answer is<u> no solutions </u>
Step-by-step explanation:
the solution is found at the point in which the two lines intersect.
in this case they do not intersect because the lines are parallel. if you rearrange 2x – y = 7 you will get y = 2x - 7. the slope is 2x
the slope of the second equation is 2x as well. when slopes are the same they are parallel and therefore never cross.