Question

#8 i

Write an equation of the line passing through the point A(3,-4) that is parallel to the line y = -x +8.
y =
1/x+1242

Answer 1

y = -x -1

Explanation:

You want an equation of the line parallel to y=-x+8 through point (3, -4).

Parallel line

The parallel line will have the same slope as the given line. That slope is the coefficient of x: -1.

Point-slope form

The point-slope form of the equation of a line with slope m through point (h, k) is ...

y -k = m(x -h)

You have m=-1, (h, k) = (3, -4), so the desired line has equation ...

y -(-4) = -1(x -3)

y +4 = -x +3 . . . . . . point-slope form

Slope-intercept form

Add -4 to get this to slope-intercept form.

y = -x -1 . . . . . . . . . slope-intercept form