Question

What is the equation of this line?

y=34x−3

y=−3x−34

y=−3x−43

y=43x−3

Answer 1

Explanation:

this line goes through the points (0, -3) and (4, 0).

so, the y-axis intercept is at y = -3.

therefore, the equation has to end with "- 3".

the slope (the factor of x in the equation) is the y/x ratio of the changes of y and of x when going from one point to the other :

x changes by 4 positive units (from 0 to 4), and y changes by 3 positive units (from -3 to 0).

so, the slope is 3/4.

and so, the equation is

y = (3/4)x - 3