Answer:
y = -2.5 x + 6.5
Step-by-step explanation:
The equation of a line in slope-intercept form is written as
y = mx + b where m is the slope and b is the y-intercept.
a) We can find the slope of the line passing through (-1,30 and (-4, 5) by subtracting the y coordinates and dividing the difference by the difference if the x coordinates:
m = (5 - 3 ) = 2
-4 - (-1) -3
Now use this slope and substitute the coordinates of either of the given points to find the y-intercept, b . Let's use (-1,3):
y = mx + b
3 = -2 • -1 + b
3
3= 2 + b
3
7 = b
3
The equation of the line will be y = -2 x + 7
3 3
b) Using y = mx + b, we can substitute -2.5 for the slope and use the point to find the y-intercept:
y = -2.5x + b
1.5 = -2.5 • 2 + b
1.5 = -5 + b
6.5 = b
The equation of the line will be:
y = -2.5 x + 6.5
Answer:
y =( -1/2 )x + 2
Step-by-step explanation:
first step is to determine the slope of the line ( which is the rise over the run) or symbolically slope is defined as m= ∆x / ∆y, so plugging those values we get...
m= ∆x / ∆y = (-1 - 0) / (4 - 2) = -1 / 2
so next is to find the zero( y-intercept) of the function by ....
y = mx + b
y = ( -1/2)x + b (since m is equal to -1/2)
2 = ( -1/2)0 + b
2= b
Answer:
18%
Step-by-step explanation:
answer
Answer:
3.25 seconds.
Step-by-step explanation:
We can use the formula <em>Final Velocity = Initial Velocity + Acceleration * Time </em> to solve this problem.
First, we plug in the values we already know, and then we solve like normal:
1.5 = 0.2 + 0.4*t
1.3 = 0.4 * t
3.25 = t
Therefore, the mosquito accelerated for 3.25 seconds.
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Answer:
x = 2
Step-by-step explanation:
Add 2x from each side giving you
7x - 3 = 11
Add 3 to each side
7x = 14
Divide by 7
x = 2
