How do you find the x and y-intercept given y=4x7?

1 Answer
Jul 27, 2015

x-intercept = 74
y-intercept = 7

Explanation:

There is a very standard way to solve such problems. Let us take an equation of a line in standard form: y=mx+c, where m is the slope and c is the y-intercept.

Firstly, get all the variables to the left-hand side (LHS) and the constant to the right-hand side (RHS). So, we get:
mx+y=c

Now divide the whole equation by the constant on the RHS (note that this does not change the equation), and write it in the form below:
mxc+yc=1 (Dividing by c)
xcm+yc=1 (Dividing by c)

In this form, the term below x (here: cm) gives the x-intercept and the term below y (here: c) gives the y-intercept.

Let us turn our attention to the question given. We have:
y=4x7
4xy=7
x74+y7=1
Thus the x-intercept is 74 and the y-intercept is 7.