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

Question

asked Jun 28, 2020 192k views

1 Answer

Galaxywatcher · Answer 1 · 2020-07-02T17:22:12+0000

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