Question

Which line represents the line that passes through (3/2-1/2) and has a slope of 1

Answer 1

Explanation:

The point-slope of an equation of a line:

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

m - slope

We have

`m=1\\\\\left((3)/(2),\ -(1)/(2)\right)\to x_1=(3)/(2),\ y_1=-(1)/(2)`

Substitute:

`y-\left(-(1)/(2)\right)=1\left(x-(3)/(2)\right)`

`y+(1)/(2)=1\left(x-(3)/(2)\right)` → the point-slope form

Convert to the slope-intercept form:

`y+(1)/(2)=x-(3)/(2)` subtract 1/2 from both sides

`y=x-(4)/(2)`

`y=x-2` → the slope-intercept form