Question

Find the coordinates on f the point where y-4x=1 crosses the axis

Answer 1

The coordinates of the intercepts are (0,1) and
`\left(-(1)/(4),0\right)`

Explanation:

Intercepts of a Function

Given a function y=f(x), the intercepts with the x-axis, if any, can be found by solving the equation:

y = f(x) = 0

The intercepts with the y-axis can be found by calculating

f(0)

We are given the function

y - 4x = 1

To find the x-intercepts, set y=0:

0 - 4x = 1

Solving:

`x = -(1)/(4)`

For x=0:

y - 4*0 = 1

y = 1

The coordinates of the intercepts are (0,1) and
`\left(-(1)/(4),0\right)`