Question

What are the coordinates of the x-intercept of the line 3x-5y=-9

Answer 1

Slope intercept form:

y= mx+b

Where:

m= slope

b= y-intercept

First, solve for y:

3x-5y=-9

-5y = -3x-9

y= (-3x-9)/-5

y= 3/5x+ 9/5

So, the x- intercept is when y=0

0 = 3/5x+9/5

Solve for x:

-9/5 = 3/5x

-9/5 * 5/3 = x

x = -3

x -intercept = (-3,0)