Write the slope- intercept form of the equation of the line through (0,3) and (1,1)
1 answer:
Answer:
y = - 2x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
Calculate m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1)
m = = - 2
note the line passes through (0, 3) ⇒ c = 3
y = - 2x + 3 ← equation in slope-intercept form
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Answer:
Step-by-step explanation:
Quadratic function-
It is a function that can be represented by an equation of the form , where
In a quadratic function, the greatest power of the variable is 2.
As in the first option the highest power is 3, so it is not a quadratic function.
Even though the power of x is 2 in the third option, but as it is in the denominator, so the overall power of x becomes -2. Hence it is not a quadratic function.
As the coefficient of is 0 in case of fourth option, so it is not a quadratic function.
Equation in option 2 satisfies all the conditions of quadratic function, hence it is the quadratic function.