Question

Which is the equation for bc?

Answer 1

Y=-4/5x+1 is the equation for bc

Answer 2

Answer:

 $y(x)=- \frac{4}{5}x+1=-0.8 x+1$

Step-by-step explanation:

A line can be expressed using a slope-intercept form:

$y(x)=mx+b$

Where:

$m=Slope=\frac{\Delta y}{\Delta x} =\frac{y_2-y_1}{x_2-x_1}$

$b=y-axis\hspace{3}intercept$

Given a point on the line $P(x_1,y_1)$ it is possible to obtain the previous equation from the following formula:

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

From the graph we can extract the two points necessary to find the equation. As you can see:

$B(x_1,y_1)=(-5,5)\\C(x_2,y_2)=(0,1)$

So, let's find the slope:

$m=\frac{1-5}{0-(-5)}= \frac{-4}{5} =-0.8$

Now, we have everything we need to find the equation for BC:

$y-5=-\frac{4}{5} (x-(-5))\\\\y-5=-\frac{4}{5} x-4\\\\y=-\frac{4}{5}+1=-0.8x+1$

Therefore, the equation for BC is:

$y(x)=- \frac{4}{5}x+1=-0.8 x+1$