The linear equation representing the line passing through the points (0, 4) and (2, -2) is y=−3x+4.
Here, we have to write a linear equation that represents the line passing through the points (0, 4) and (2, -2), we can use the point-slope form of a linear equation:
where:
m is the slope of the line,
is one of the given points on the line.
Given the points (0, 4) and (2, -2),
let's calculate the slope m:
m= −2−4/ 2−0
= −6/2
=−3.
Now, use the point-slope form with the point (0, 4):
y−4=−3(x−0).
Simplify the equation:
y−4=−3x.
Add 4 to both sides:
y=−3x+4.
So, the linear equation representing the line passing through the points (0, 4) and (2, -2) is y=−3x+4.
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Answer:
y=-3x+4
Step-by-step explanation:
it's negative bc the slope is going from left to right. you just have to do rise over run to find the slope.
y=4x
or
y=x+2
or
y=x squared
or
y=2x
(2,4)
(3,9)
(4,16)
which is not true about the above table?
A .It shows a linear function.
B .The variable x increases by 1 each time.
C .The rate of change is not constant.
D. The variable y increases by a different value each time
Answer:
lalalalalalalalalala
Step-by-step explanation:
b.–0.5
c.0.5
d.1.5
Let consider time on x-axis and temperature ony-axis.
The x-axis starts from “0” corresponds to “8 a.m”.Thus after 4 hours, the time will be “12pm”. So we have two values on x-axis,one is “0” and another “4”.
For x = 0, or time value = 8am, the temperature value= y-axis value = -2
For x = 4, or time value = 12pm, the temperaturevalue = y-axis value = 4
Thus we got two points (0,-2) and (4,4).
Now using slope formula = (y2 –y1) / (x2 –x1)
Slope = (4-(-2)) / (4 -0) = 6/4 = 1.5
Answer:
1.5 or D on degenuityy
Step-by-step explanation: