Answer:
[tex]\displaystyle y=\frac{1}{4}x+\frac{1}{4}[/tex]
Step-by-step explanation:
We want to find the equation of the line that passes through the point (-1, 0) and have the slope 1/4.
We can use the point-slope form given by:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
We will substitute (-1, 0) for (x₁, y₁) and 1/4 for the slope m. Therefore:
[tex]\displaystyle y-(0)=\frac{1}{4}(x-(-1))[/tex]
Simplify:
[tex]\displaystyle y=\frac{1}{4}(x+1)[/tex]
Distribute. Thus, our equation is:
[tex]\displaystyle y=\frac{1}{4}x+\frac{1}{4}[/tex]
