Question

Select the equation that represents the graph of the line y=x-1 y=1/2x-1 y=1/2x + 2 y=x+2​

Answer 1

Answer:

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

Step-by-step explanation:

Given

See attachment for graph

Required

The graph equation

First, pick any two corresponding points on the line

$(x_1,y_1) = (2,0)$

$(x_2,y_2) = (4,1)$

Calculate slope (m)

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

This gives:

$m = \frac{1 - 0}{4 - 2}$

$m = \frac{1}{2}$

The line equation is then calculated as:

$y = m(x - x_1) + y_1$

Where

$(x_1,y_1) = (2,0)$

$m = \frac{1}{2}$

So:

$y = m(x - x_1) + y_1$

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

$y = \frac{1}{2}x - 1 + 0$

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