Answer :
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 [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by the formula,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
If the passes through (0, -3) and (-2, 0)
m = [tex]\frac{-3-0}{0+2}[/tex]
m = [tex]-\frac{3}{2}[/tex]
Fro the graph,
y-intercept 'b' = -3
Therefore, equation of the line is,
[tex]y=-\frac{3}{2}x-3[/tex]
For y = 0,
[tex]0=-\frac{3}{2}x-3[/tex]
[tex]\frac{3}{2}x=-3[/tex]
x = -2
Therefore, option (D) will be the answer.