Question

The graph of linear function g is shown on the grid. What is the zero of g? (-8,3) (-3,-4.5)

Answer 1

Zero of the function = (-6, 0)

Explanation:

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

y = mx + b

where m = slope of the line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` =
`(y_2-y_1)/(x_2-x_1)`

b = y-intercept of the line

From the graph attached,

Slope of the line passing through (-8, 3) and (-3, 4.5) =
`(-4.5-3)/(-3+8)` = -1.5

y - intercept 'b' = -9

Therefore, equation of the line will be,

y = -1.5x - 9

Function representing this line will be,

g(x) = -1.5x - 9

Zeros of the given function will be,

g(x) = 0 Or x-intercept

-1.5x - 9 = 0

x = -6

Therefore, zero of the given function is (-6, 0).