Question

Find the equation of the line that contains the points whose coordinates are (−1, 0) ( − 1 , 0 ) and has slope 1/4

Answer 1

`\displaystyle y=(1)/(4)x+(1)/(4)`

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:

`\displaystyle y-y_1=m(x-x_1)`

We will substitute (-1, 0) for (x₁, y₁) and 1/4 for the slope m. Therefore:

`\displaystyle y-(0)=(1)/(4)(x-(-1))`

Simplify:

`\displaystyle y=(1)/(4)(x+1)`

Distribute. Thus, our equation is:

`\displaystyle y=(1)/(4)x+(1)/(4)`