Question

Which system is represented by the graph?

Answer 1

Answer:

The system that is represented by the graph is (a) $y=3x-2\\y=3x-1$.

Step-by-step explanation:

The Slope-Intercept Form of the equation of a straight line is given by:

                                                   $y = mx + b$

the slope is given by $m$ and the y-intercept is given by $b$.

The slope of a line is a number that measures its "steepness" and its given by:

                                   $Slope=m=\frac{\:change \:in \:y}{\:change \:in \:x}=\frac{y_2-y_1}{x_2-x_1}$

The y-intercept is where a line crosses the y-axis of a graph (0, b).

From the graph, we can see that the y-intercept is -1 for the blue line and -2 for the orange line.

The blue line appears to go through the points (0,-1) and (1, 2) and the slope is

$m=\frac{2+1}{1-0}=\frac{3}{1}=3$

The orange line appears to go through the points (0,-2) and (1, 1) and the slope is

$m=\frac{1+2}{1-0}=\frac{3}{1}=3$

So, the system that is represented by the graph is

$y=3x-2\\y=3x-1$