Question

Which is an equation of the line that has a slope of 1/2 and passes through the point (3,-1)?

Answer 1

Answer: y = 1/2x - 2.5

Explanation:

Our task is to find the equation of the line that has a slope of 1/2 and passes through the point (3,-1).

We're going to use the point-slope formula for that:

`\sf{y-y_1=m(x-x_1)}`

Plug in the parameters:

`\sf{y-(-1)=\cfrac{1}{2}(x-3)}`

Simplify:

`\sf{y+1=\cfrac{1}{2}(x-3)}`

Use the distributive property:

`\sf{y+1=\cfrac{1}{2}x-1.5}`

Subtract 1 from both sides:

`\boxed{\sf{y=\cfrac{1}{2}x-2.5}}`