Question

what is the equation of the following line? Be sure to scroll down first to see all answer options. ( 0, 0) (4, -3)

Answer 1

Y=mx+b, where m=(y2-y1)/(x2-x1) and b is equal to the value of y when x=0

We are given the point (0,0) so we know b=0, now just find the slope...

m=(-3-0)/(4-0)=-3/4 so the line is:

y=-3x/4

Answer 2

we have that

The line passes through the points $A(0,0)\ B(4,-3)$

If the point passes through the origin

then

The linear equation is a direct variation

Remember that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $y/x=k$ or $y=kx$

In this case the constant of proportionality k is equal to the slope of the line

Find the value of k

$y/x=k$

Substitute the values of x and y of the point B

$-3/4=k$

$k=-\frac{3}{4}$

the equation of the line is

$y=-\frac{3}{4}x$

therefore

the answer is

$y=-\frac{3}{4}x$