Question

The equation of a line is 5x – 3y = 6. Which is the y-intercept of the line?

A)
y = 2
B)
y = 1
C)
ya
=
wiu
D)
y = -2

Answer 1

y-intercept = -2

Explanation:

The given equation of line is :

5x – 3y = 6 ...(1)

The general equation of line is given by :

y = mx +c ...(2)

Where

m is slope

c is y-intercept

Equation (1) can be written as :

-3y = 6-5x

`y=(6)/(-3)-(5x)/((-3))\\\\y=-2+(5x)/(3)\\\\y=(5x)/(3)+(-2)` ..(3)

Comparing equation (1) and (3).

y-intercept = -2

Hence, this is the required solution.