If we rewrite this equation, it would look like this:
, which is the equation for a straight line with a slope of -4/3 and a y-intercept of 20. The y-intercept exists when x = 0. "x" represents the number of minutes he drives, "y" represents the number of laps he drives. Slope is rise/run, or y/x, which gives us that he drives 4 laps in 3 minutes (the slope of our line). The y-intercept, when x = 0, tells us that when he has driven 0 minutes, or hasn't driven at all yet, he still has 20 laps to go. When y = 0, the x-intercept is
, and
. Multiply both sides by 3 to get that -60 = -4x and that means that x is 15. This means that from start to finish, it takes him 15 minutes to drive the 20 laps.
First let's get the equation 2x - y = -4 into slope intercept form. To do this first subtract 2x to both sides:
2x - 2x - y = -4 - 2x
0 - y = -4 - 2x
-y = -4 - 2x
Y still isn't completely isolated, it still has the negative attached to it. To get rid of the negative divide both sides by -1
-y / -1 = (-4 - 2x) / -1
y = 4 + 2x
y = 2x + 4
slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
For a line that is parallel to y = 2x + 4 and passes through point (2, 5) you will need to have the same slope (2)
This is the formula we know so far for the line parallel to y = 2x + 4:
y = 2x + b
Now we must find b
To do that you must plug in the point the line goes through ( 2, 5) in the x and y of the equation.
5 = 2(2) + b
5 = 4 + b
Now solve for b by subtracting 4 to both sides
1 = b
y = 2x + 1
^^^This line is parallel to 2x - y = -4 and goes through the point (2, 5)
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
to survive
Step-by-step explanation:
if you don't eat you are gonna died➡
Answer:
A part of a line with a start point but no end point (it goes to infinity) Try moving points "A" and "B": line
Step-by-step explanation:
its just straight forward
Answer:
So dimension of rectangle are :
Length = 32
Width = 40
Step-by-step explanation:
Let the length of rectangle be 4x and width of rectangle be 5x.
Remember ratio of length and width is 4 to 5.
Perimeter of rectangle is given as 144.
i.e 2 (length +width) = 144
or 2 ( 4x + 5x ) = 144
Solving this for x, we get :
or 9x = 144/2
or 9x = 72
or x = 72/9
or x = 8
So dimension of rectangle are :
Length = 4 x = 4*8 = 32
Width = 5x = 5*8 = 40
