help me!!

y=3x−8 linear equation is given. Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes.

please answer the spots blank
x − intercept is (_,_).
y − intercept is (_,_).

Respuesta :

ANSWER:

x − intercept is ([tex]\frac{8}{3}, 0[/tex]) , y − intercept is (0,8).

SOLUTION:

Given, linear equation is y = 3x – 8 --eqn (1)

We need to find x – intercept and y – intercept i.e. where the line meets x – axis and y – axis

Now, let us find x – intercept. So put y = 0 in eqn (1)

0 = 3x – 8

3x = 8

x = [tex]\frac{8}{3}[/tex]

So, point where given line meets x – axis is ([tex]\frac{8}{3}[/tex] ,0)

Now, let us find y – intercept. So put x = 0 in (1)

y = 3(0) – 8

y = 8

So, point where given line meets y – axis is (0,8).

Hence, x − intercept is ([tex]\frac{8}{3}[/tex] ,0) , y − intercept is (0,8).