Question

How do you find the x and y intercepts for `y=4x+5`?

Answer 1

To find the x intercept, plug in 0 for y and to find the y intercept plug in 0 for x.

Explanation:

Let's find the y intercept first:

y = 4(0) + 5

y = 5

The y intercept is at (0,5)

Now, let's find the x intercept:

0 = 4x + 5
-5 = 4x
`-5/4` = x

The x intercept is at (`-5/4`, 0)

Exercises

1. Find the x intercepts, y intercepts and slope of the following linear functions:

a) 2x + 5y = -4

b) y - 2 = 2(x - 3)

c) a line that passes through the points (0,-3) and (1,6)

Hopefully you understand now!