Answer: Option D
Step-by-step explanation:
The equation of the line, by definition, has the following form:
y=mx+b
Where m is the slope and b is the y-intercept
As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.
Now, to find the slope, choose any point of the line and solve for m:
Point (1,1)
1=m(1)+2
-1=m
Then, the equation is:
y=-x+2
So the equation has to pass through (6,-1) and be perpendicular to y = -2x + 8.
The slope is -2, and to get the slope of a line perpendicular to another line you have to find the negative reciprocal of that slope. That means -2 is equal to
-2/1, and if you flip those numbers and find the opposite of that number making it positive, the slope of a line perpendicular to it is 1/2.
But the line also has to pass through (6,-1), so we have to find the y-intercept of the new line.
To do that, you multiply 6(the x) by the 1/2(the slope) and get 3. Then you subtract 3(previous answer) from -1(the y) and get -4. That means the y-intercept is -4!
All that's left is to build the equation with this information. The equation is:
y = -4 + 1/2x
Hope this helps!
<span>denominator is </span>number below the line in a common fraction.
Here's picture to show what is a denominator:
Answer:
3rd option
Step-by-step explanation:
Answer:
12 seconds
Step-by-step explanation:
75 t=66t+108
75t-66t=108
9t=108
t=108/9=12
