Question

The graph of a linear function is given below. What is the zero of the function?

Answer 1

Answer:

Option (D)

Step-by-step explanation:

Zero of any function is defined by the x-value of the function when y = 0.

Let the equation of the line given in the graph is,

y = mx + b

where m = slope of the line

b = y-intercept of the line

Slope of a line passing through $(x_1,y_1)$ and $(x_2,y_2)$ is defined by the formula,

m = $\frac{y_2-y_1}{x_2-x_1}$

If the passes through (0, -3) and (-2, 0)

m = $\frac{-3-0}{0+2}$

m = $-\frac{3}{2}$

Fro the graph,

y-intercept 'b' = -3

Therefore, equation of the line is,

$y=-\frac{3}{2}x-3$

For y = 0,

$0=-\frac{3}{2}x-3$

$\frac{3}{2}x=-3$

x = -2

Therefore, option (D) will be the answer.