High School

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Which equation represents the linear function that is shown on the graph below?

On a coordinate plane, a line goes through points (4, 0), (6, 1), (8, 2), and (10, 3).

A. [tex] y = \frac{1}{2} x + 4 [/tex]
B. [tex] y = \frac{1}{2} x - 2 [/tex]
C. [tex] y = 4x - 2 [/tex]
D. [tex] y = -2x + 4 [/tex]

Answer :

The equation of line goes through points (4, 0) (6, 1), (8, 2), and (10, 3) is y = 1/2 x - 2

What is the Equation of line?

The equation of the line with slope m and y-intercept at point b is given as;

y = MX + b

Given that On a coordinate plane, a line goes through points (4, 0), (6, 1), (8, 2), and (10, 3).

Now, Take two points and find the slope of the graph as,

Two points are (8, 2), and (10, 3)

Hence, Slope = (3 - 2) / (10- 8)

= 1/2

Thus, the Slope is 1/2.

The equation goes through points (4, 0) and is given as;

y - 0= 1/2(x - 4)

y = 1/2 x - 2

The equation of line goes through points (4, 0) (6, 1), (8, 2), and (10, 3) is y = 1/2 x - 2

To learn more about the equation of line visit:

brainly.com/question/18555692

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