Answer:
The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]
Step-by-step 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:
[tex]x = -\frac{1}{4}[/tex]
For x=0:
y - 4*0 = 1
y = 1
The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]
