Question

the graph linear function f passes through the point (1, -9) and has a slope of -3 what is the zero of f

Answer 1

Answer:

x= -2

Step-by-step explanation:

Equation of the graph f is:

y-(-9)/x-1 = -3

=> y + 9 = -3x + 3

=> y = -3x - 6.

Zero of f is:

-3x-6 = 0

=> x = -2

Answer 2

Given,

The function f is passing through the point (1, -9)

The slope = -3

To Find,

The zero of f =?

Solution,

From the equation of a line passing through a point is,

y - y1 = m(x - x1)

y - (- 9)  = (-3)(x - 1)

y + 9 = -3x + 3

y + 3x + 6 = 0

To find the zeros of the funtion we will put y = 0

0 + 3x + 6 = 0

3x = -6

x = -6 / 3

x = -2

Hence, the zero of f is -2.