How do you find the x and y intercepts for 7x + 8y = 187x+8y=18?

1 Answer
May 1, 2018

:. y-intercept = 18/8

:. x-intercept = 18/7

Explanation:

x-intercept means the point where the lines reaches the x-axis which means y=0

y-intercept means the point where the lines reaches the y-axis which means x=0

To find y-intercept, there is also another method which is by using the formulae itself, which is y=mx+c where c stands for y-intercept.

Regarding your question, to find y-intercept using
[y=mx+c method]

=> 7x + 8y = 18

=> y = (18-7x)/8

=> y = (18)/8 - (7x)/8

=> y = -(7x)/8 + (18)/8

:. y-intercept = 18/8

Or apply x=0

=> 8y = 18

:. y -intercept = 18/8

To find x-intercept, apply y=0

=> 18/8 = (7x)/8

=> 144 = 56x

:. x-intercept = 18/7