Are the equation linear or nonlinear?
1 answer:
Answer:
<em>Results below</em>
Step-by-step explanation:
<u>Equation of the line</u>
A straight line can be written in the form:
y = ax + b
Where a and b are constants and x is the independent variable.
The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.
From the equations presented in the table:
is linear because the exponent of the x is 1
y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.
y = x is linear with a=1 and b=0
is not linear because the exponent of x is 2
is not linear because the exponent of x is 2
The table below summarizes the results
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Answer: y = -2x + 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their slope = -1, that is , if is the slope of the first line and
is the slope of the second line , if the two lines are perpendicular , then
= -1
The equation of the line given :
y = 1/2x - 1
comparing with the equation of line in slope intercept form
y = mx + c , where m is the slope and c is the y - intercept , it implies that
= 1/2
Therefore :
= -2
To find the equation of the line with slope -2 and passes through the point ( 3 , 4 ) we will use the formula
= m (
)
y - 4 = -2 ( x - 3 )
y - 4 = -2x + 6
y = -2x + 6 + 4
y = -2x + 10