Question

The y-intercept of the line whose equation is 2x - 3y = 6 is -2 3 6

Answer 1

Answer:

y = -2

(first option listed)

Step-by-step explanation:

a y-intercept is a point where the line crosses over the y-axis, which happens when x = 0.

So, the y-intercept is actually pretty each to find.

this is the easier way to find it:    {plug directly into equation given}

2x - 3y = 6

(set x equal to 0)

[0] - 3y = 6

(divide both sides by -3)

y = -2

but you might have seen/ learned to solve the equation like this {to actually find the equation of the line and solve from that}

[this method is helpful to know/practice for when equations for functions get more complex]

  2x - 3y = 6

      + 3y      + 3y           {add 3y to both sides}

 

  2x = 3y + 6

   -6          -6                {subtract 6 from both sides}

  2x - 6 = 3y

    ÷3      ÷3            {divide both sides by 3 to isolate y}

  $\frac{2}{3}x$ $- 2 = y$                [flip sides of the equation]

 $y=\frac{2}{3}x-2$  

set x equal to 0 (x = 0)

y = $\frac{2}{3} (0)$ - 2

y = 0 - 2

y = -2

So, the y-intercept is -2.