Find the intercept and the x intercept for the equation 5x+6y =150. I just can't seem to figure this out.

Question

Please help me. I am totally grateful for all the help everyone of you have given me. Thank you, it is very much appreciated.

Answer 1

Put the equation in slope-intercept form.

5x+6y = 150
6y = 150-5x
y = 25-(5/6)x

The y-intercept occurs when x=0:
y = 25-(5/6)*0
(0, 25)

The x-intercept occurs when y=0:
0 = 25-(5/6)x
25 = (5/6)x
x=30
(30,0)