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Paraphin [41]
3 years ago
15

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

Mathematics
1 answer:
Deffense [45]3 years ago
8 0

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.

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