Answer the following questions:

a) can every line be written in slope-intercept form?
b) does every line have two distinct intercepts?
c) are there lines that have no intercepts?

(a) No, every equation of line can't be written in slope Intercept form which can be explained in the following way.

→y=m x +c, where m is slope of line and c is y intercept.

Suppose a line is , ax +by+c=0

   by=-ax -c

if, c=0, then line will be not in slope intercept form.

(b) NO,

Every line has two intercepts , one is called X intercept and another one is Y intercept.

Equation of line in Intercept form

    ax +by+c=0

   by+ax =-c

But if,c=0,equation of line can't be written in intercept form.

(c)

Yes, all lines which passes through Origin have no intercepts that is X intercept and Y intercept.

Equation of these lines are

y= mx, where m is slope of the line.

is there a picture

step-by-step explanation: