Answer:
y = 2/3x - 3
Step-by-step explanation:
First let's look at what slope-intercept form is.
y = mx + b
m is the slope, which in this case is 2/3
b is the y-intercept, which we will find later.
Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.
y = mx + b
1 = 2/3(6) + b
Let's simplify this to find b.
[multiply] 1 = 4 + b
[subtract 4]
-3 = b
We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.
y = 2/3x - 3
This is your equation.
Check this by plugging in the point again.
1 = 2/3(6) - 3
[multiply] 1 = 4 - 3
[subtract]
1 = 1
This expression is true; therefore, your answer is correct.
Hope this helps!
Answer: The correct option is, It is a line joining the points whose x and y coordinates add up to 4.
Step-by-step explanation:
The given equation is, 
when we take x = 1 then
when we take x = 2 then
From this we conclude that the sum of 'x' and 'y' coordinates is always equal to 4.
Hence, the correct answer is, It is a line joining the points whose x and y coordinates add up to 4.
Answer:
55.96 miles
Step-by-step explanation:
Distance = Speed X time
Car first moved east for 1 hr , distance = 40 x 1 = 40 miles
Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles
From trigonometry,
sin 45 = 
; y = 20 sin 45 ; y= 14.14 miles
cos 45 = 
; x = 20 cos 45 ; x = 14.14 miles
using Pythagoras theorem;
= 
+ 
= 
+ 
= 3131.08
= 
z = 55.96 miles
Answer:
-7/4x-68
Step-by-step explanation:
It seems that the four graphs are the same and they do not have a negative change rate in the interval 0 to 2 in the x-axis.
A negative change rate means that when x increases the value of the function (y) decreases; this is, the function is decreasing in the interval being estudied, which is the same that going downward.
So, you must look for in your graphs where the equation is going downward.
For example, in the graph attached, that happens in any interval from negative infitity to 1.5.
The vertex will help you to identify it.
Given that the graph goes downward from negative infinity to the vertex, any interval that includes that range will have negative change.
You must look for a parabola that opens upward and whose vertex is in x = 2.
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