Question

The graph of linear f passes through the point 1 -9 and has a slope of -3 what is the zero of f

(A) 2
(B) 4
(C) -6
(D) -2

Answer 1

(C) -6

Explanation:

Given the following data;

Points on the graph (x1, y1) = (1, -9).

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the zero of the linear function f, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

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

y + 9 = -3x + 3

y = -3x + 3 - 9

y = -3x -6 = mx + c

Intercept (c) or zero of a function = -6