Find the Linear function with the following properties: f(-9)=-0 and the slope of f equals 3/4
To find the linear function that satisfies the given properties, we need to use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by: y - y₁ = m(x - x₁), where (x₁, y₁) represents a point on the line, and m represents the slope of the line.
In this case, we are given that f(-9) = -0, which means that the point (-9, -0) lies on the line. Also, the slope of f is 3/4.
Using the point-slope form, we can substitute the given values into the equation:
y - (-0) = (3/4)(x - (-9))
Simplifying further:
y = (3/4)(x + 9)
y = (3x + 27)/4
Therefore, the linear function that satisfies the given properties is f(x) = (3x + 27)/4.
To find the linear function with the given properties, we need to use the point-slope form of a linear equation. The point-slope form is given by:
y - y1 = m(x - x1),
where (x1, y1) represents a point on the line, and m represents the slope of the line.
Given that f(-9) = -0, we have the point (-9, -0). And also, given that the slope of f equals 3/4, we have m = 3/4.
Applying the point-slope form with the given values, we have:
y - (-0) = (3/4)(x - (-9)),
which simplifies to:
y = (3/4)(x + 9).
Thus, the linear function with the given properties is f(x) = (3/4)(x + 9).