Question

What is the equation of the line graphed below?

Answer 1

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, $y = \frac{1}{2}x$