Question

The linear equation of the initial (red ) incline would be y = __x +__

Answer 1

Answer:

$y=\underline {1.5}x+\underline 0$

Step-by-step explanation:

From the graph,

The initial red incline is a straight line passing through the origin.

So, a straight line passing through the origin is of the form:

$y=mx+0$

Where, 'm' is the slope.

Now, the slope of a given as the change in y value to change in x value.

Consider the two end points of the red line (0, 0) and (4, 6).

The slope with two points $(x_1,y_1)\ and\ (x_2,y_2)$ on the line is given as:

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

Plug in $x_1=0,y_1=0,x_2=4,y_2=6$. Therefore, slope is:

$m=\frac{6-0}{4-0}\\m=\frac{6}{4}=1.5$

Hence, the equation of the initial red incline is:

$y=\underline {1.5}x+\underline 0$