Question

Which function is graphed on the coordinate plane below?

Answer 1

Answer:

Option (4)

Step-by-step explanation:

Let the equation of the linear function is,

f(x) = mx + b

where m = slope of the line

b = y - intercept

Since slope of a line passing through two points $(x_1, y_1)$ and $(x_2,y_2)$ is defined by,

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

Slope the line passing through (0, 6) and (3, 0),

m = $\frac{6-0}{0-3}$

m = -2

y-intercept given in the graph 'b' = -6

Therefore, linear function will be,

f(x) = -2x - 6

Option (4) will be the answer.