How do you find the x and y intercept of #x – 9y = – 45#?

1 Answer
Jul 5, 2016

Answer:

Here it is

Explanation:

Hopefully, you have already learnt the equation of a line which states that

#color(red)"y = mx + c" #

where m is the gradient (m = y/x) and c is the y-intercept. (and x and y the coordinates.)

Now arranging your equation into above mentioned format;

#x– 9y= –45#

#-9y = -x -45#

#y = (-x)/-9 +( -45)/-9#

#y =1/9*x+5#

Now you from this equation you can see that #color(Magenta)"1/9 is the gradient m "#and #color(blue)"5 is c which is the y intercept."#

SO OUR Y-INTERCEPT IS FOUND WHICH IS 5.

Now for finding x-intercept then y coordinate must be equal to ZERO.

So we put the equation equal to ZERO, like this:

# 0 = 1/9*x + 5#

#-5 = 1/9*x#

#x = -45 #

SO at -45 the line intersects the x-axis.

SO OUR X-INTERCEPT EQUALS TO -45.