Respuesta :

Answer:

x-intercept = 6

y-intercept = -4

Slope: m = ⅔

f(3) = -2

Step-by-step explanation:

✔️The x-intercept is the value of x when y = 0. It is the point at which the line of the function intercepts the x-axis. Thus,

x-intercept = 6

✔️The y-intercept is -4. At this point, x = 0. The line intercepts the y-axis at y = -4. Thus,

y-intercept = -4

✔️Slope can be calculated using two points, (0, -4) and (6, 0).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-4)}{6 - 0} = \frac{4}{6} = \frac{2}{3} [/tex]

Slope: m = ⅔

✔️f(3) means, what is the value of y when x = 3.

From the graph, when x = 3, y = -2.

Therefore,

f(3) = -2

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