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slava [35]
3 years ago
12

What is the equation of the line graphed below?

Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

Answer:

Option C is correct.

The equation of line graphed is, y = \frac{1}{2}x

Step-by-step explanation:

Point slope form: The straight of line in the form of :

y-y_1 =m(x-x_1)   ......[1] where m is the slope.

Consider two points from the given graph:

(0, 0) and (2, 1)

First calculate slope:

Slope(m) = \frac{y_2-y_1}{x_2-x_1}

Substitute the given values we have;

m = \frac{1-0}{2-0} = \frac{1}{2}

Substitute the given values m and (0,0) in [1] we have;

y-0 =\frac{1}{2}(x-0)

Simplify:

y = \frac{1}{2}x

therefore, the equation of line graphed is, y = \frac{1}{2}x

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