Question

How would you write the equation with a slope of 2/3 and a y-intercept of -3 in slope- intercept form

Answer 1

y=2/3x-2

Step-by-step explanation:

The equation of a line can be written as y=mx+c

m=slope and c = y-intercept

The point at the x−intercept has coordinates (-3,0)

In y=mx+c

0=2/3(3)+c

0=2+c

-2=c

The equation is y=2/3x-2

Answer 2

`y = (2)/(3) x - 3`

Step-by-step explanation:

Slope (m) = 2/3

y-intercept (b) = - 3

Equation of line in slope intercept form is given as:

`y = mx + b`

Plug the values of m and b in the above equation, we find:

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